What is the length of the diagonal of a square with perimeter $48$ inches? [closed]
The perimeter of a square is 48 inches.
What would be the length, in inches, of its diagonal?
trigonometry triangle
closed as off-topic by Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik Jan 1 at 15:46
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.
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The perimeter of a square is 48 inches.
What would be the length, in inches, of its diagonal?
trigonometry triangle
closed as off-topic by Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik Jan 1 at 15:46
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
2
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21
|
show 1 more comment
The perimeter of a square is 48 inches.
What would be the length, in inches, of its diagonal?
trigonometry triangle
The perimeter of a square is 48 inches.
What would be the length, in inches, of its diagonal?
trigonometry triangle
trigonometry triangle
edited Oct 28 '18 at 10:08


Blue
47.7k870151
47.7k870151
asked Mar 30 '12 at 20:52
MedexMedex
1671310
1671310
closed as off-topic by Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik Jan 1 at 15:46
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik Jan 1 at 15:46
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, José Carlos Santos, amWhy, Xander Henderson, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
2
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21
|
show 1 more comment
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
2
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
2
2
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21
|
show 1 more comment
2 Answers
2
active
oldest
votes
Since the perimeter of the square is 48 inches, each side is 12 inches. Using the Pythagorean theorem ($a^{2}$ + $b^{2}$ = $c^{2}$), we have $$12^{2}+12^{2} = diagonal^{2}$$
$$288 = diagonal ^{2}$$
Thus, the diagonal is about $16.97$ inches.
add a comment |
$4a=48$
$a=12$
Length of diagonal $l$, of Every square with lenght of side=$a$, is
$l=asqrt{2}$
$l=12sqrt{2}approx16.97 $
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
Since the perimeter of the square is 48 inches, each side is 12 inches. Using the Pythagorean theorem ($a^{2}$ + $b^{2}$ = $c^{2}$), we have $$12^{2}+12^{2} = diagonal^{2}$$
$$288 = diagonal ^{2}$$
Thus, the diagonal is about $16.97$ inches.
add a comment |
Since the perimeter of the square is 48 inches, each side is 12 inches. Using the Pythagorean theorem ($a^{2}$ + $b^{2}$ = $c^{2}$), we have $$12^{2}+12^{2} = diagonal^{2}$$
$$288 = diagonal ^{2}$$
Thus, the diagonal is about $16.97$ inches.
add a comment |
Since the perimeter of the square is 48 inches, each side is 12 inches. Using the Pythagorean theorem ($a^{2}$ + $b^{2}$ = $c^{2}$), we have $$12^{2}+12^{2} = diagonal^{2}$$
$$288 = diagonal ^{2}$$
Thus, the diagonal is about $16.97$ inches.
Since the perimeter of the square is 48 inches, each side is 12 inches. Using the Pythagorean theorem ($a^{2}$ + $b^{2}$ = $c^{2}$), we have $$12^{2}+12^{2} = diagonal^{2}$$
$$288 = diagonal ^{2}$$
Thus, the diagonal is about $16.97$ inches.
answered Mar 30 '12 at 21:36
JoeJoe
3,82942451
3,82942451
add a comment |
add a comment |
$4a=48$
$a=12$
Length of diagonal $l$, of Every square with lenght of side=$a$, is
$l=asqrt{2}$
$l=12sqrt{2}approx16.97 $
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
add a comment |
$4a=48$
$a=12$
Length of diagonal $l$, of Every square with lenght of side=$a$, is
$l=asqrt{2}$
$l=12sqrt{2}approx16.97 $
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
add a comment |
$4a=48$
$a=12$
Length of diagonal $l$, of Every square with lenght of side=$a$, is
$l=asqrt{2}$
$l=12sqrt{2}approx16.97 $
$4a=48$
$a=12$
Length of diagonal $l$, of Every square with lenght of side=$a$, is
$l=asqrt{2}$
$l=12sqrt{2}approx16.97 $
edited Dec 11 '14 at 14:27
answered Dec 11 '14 at 14:12
Dheeraj KumarDheeraj Kumar
1,732822
1,732822
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
add a comment |
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
Do you want to change the very last equals sign? It should be an $approx$ sign because $12sqrt{2}$ is not equal to 16.97...
– JP McCarthy
Dec 11 '14 at 14:20
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
@JpMcCarthy You are right, it should be $approx$
– Dheeraj Kumar
Dec 11 '14 at 14:23
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
You can write $12sqrt{2}approx 16.97$ or $12sqrt{2}approx 16.9705627485approx 16.97$ or maybe $12sqrt{2}=16.9705...approx 16.97$. It is incorrect to write $12sqrt{2}=16.9705627485$.
– JP McCarthy
Dec 11 '14 at 14:26
add a comment |
Any clues as to what maths you might know which might help you to answer this? Have you tried drawing a diagram?
– Mark Bennet
Mar 30 '12 at 20:55
Can you find the length of a side of this square? Assuming you can do this, the diagonal will be the hypotenuse of a right triangle . . .
– Dave L. Renfro
Mar 30 '12 at 20:56
48:4=12, 12 inch. is each side of the square. Now use Pythagorean theorem to compute the diagonal.
– Salech Alhasov
Mar 30 '12 at 20:57
I picked this question from my GRE Book which has answer on it. But answer which i received is differing from Book Answer
– Medex
Mar 30 '12 at 20:59
2
In a case such as you described (Medex, comment #4), what you want to do is tell how you solved the problem (and give the specific answer you got), then give the different answer from the Book Answer (and say that it's the Book Answer), and then ask if the Book Answer is wrong or if you're wrong (could be both, of course), and if you're wrong, what your mistake(s) is (are).
– Dave L. Renfro
Mar 30 '12 at 21:21