Area of a right trapezoid with bases $15$ and $8$, and height $9$












0












$begingroup$


Find the area.



I can't figure out how they got that.
I got 1080, they got 103.5.
How???










share|cite|improve this question











$endgroup$












  • $begingroup$
    How did you find $1080$ ?
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:50










  • $begingroup$
    I multiplied 15 by 9, then that by 8
    $endgroup$
    – Duel
    Jan 22 at 18:51










  • $begingroup$
    What is the rationale behind multiplying these three numbers ??
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:52










  • $begingroup$
    I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
    $endgroup$
    – Lord Shark the Unknown
    Jan 22 at 18:52






  • 1




    $begingroup$
    Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
    $endgroup$
    – David K
    Jan 22 at 18:54
















0












$begingroup$


Find the area.



I can't figure out how they got that.
I got 1080, they got 103.5.
How???










share|cite|improve this question











$endgroup$












  • $begingroup$
    How did you find $1080$ ?
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:50










  • $begingroup$
    I multiplied 15 by 9, then that by 8
    $endgroup$
    – Duel
    Jan 22 at 18:51










  • $begingroup$
    What is the rationale behind multiplying these three numbers ??
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:52










  • $begingroup$
    I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
    $endgroup$
    – Lord Shark the Unknown
    Jan 22 at 18:52






  • 1




    $begingroup$
    Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
    $endgroup$
    – David K
    Jan 22 at 18:54














0












0








0





$begingroup$


Find the area.



I can't figure out how they got that.
I got 1080, they got 103.5.
How???










share|cite|improve this question











$endgroup$




Find the area.



I can't figure out how they got that.
I got 1080, they got 103.5.
How???







education area






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 22 at 19:04









Blue

49k870156




49k870156










asked Jan 22 at 18:48









DuelDuel

153




153












  • $begingroup$
    How did you find $1080$ ?
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:50










  • $begingroup$
    I multiplied 15 by 9, then that by 8
    $endgroup$
    – Duel
    Jan 22 at 18:51










  • $begingroup$
    What is the rationale behind multiplying these three numbers ??
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:52










  • $begingroup$
    I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
    $endgroup$
    – Lord Shark the Unknown
    Jan 22 at 18:52






  • 1




    $begingroup$
    Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
    $endgroup$
    – David K
    Jan 22 at 18:54


















  • $begingroup$
    How did you find $1080$ ?
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:50










  • $begingroup$
    I multiplied 15 by 9, then that by 8
    $endgroup$
    – Duel
    Jan 22 at 18:51










  • $begingroup$
    What is the rationale behind multiplying these three numbers ??
    $endgroup$
    – Yves Daoust
    Jan 22 at 18:52










  • $begingroup$
    I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
    $endgroup$
    – Lord Shark the Unknown
    Jan 22 at 18:52






  • 1




    $begingroup$
    Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
    $endgroup$
    – David K
    Jan 22 at 18:54
















$begingroup$
How did you find $1080$ ?
$endgroup$
– Yves Daoust
Jan 22 at 18:50




$begingroup$
How did you find $1080$ ?
$endgroup$
– Yves Daoust
Jan 22 at 18:50












$begingroup$
I multiplied 15 by 9, then that by 8
$endgroup$
– Duel
Jan 22 at 18:51




$begingroup$
I multiplied 15 by 9, then that by 8
$endgroup$
– Duel
Jan 22 at 18:51












$begingroup$
What is the rationale behind multiplying these three numbers ??
$endgroup$
– Yves Daoust
Jan 22 at 18:52




$begingroup$
What is the rationale behind multiplying these three numbers ??
$endgroup$
– Yves Daoust
Jan 22 at 18:52












$begingroup$
I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
$endgroup$
– Lord Shark the Unknown
Jan 22 at 18:52




$begingroup$
I got 103.5 too. How on earth did you get 1080? (You can put it inside a $9times 15$ rectangle, so it must be less than 135)
$endgroup$
– Lord Shark the Unknown
Jan 22 at 18:52




1




1




$begingroup$
Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
$endgroup$
– David K
Jan 22 at 18:54




$begingroup$
Just as a sanity check, it should be obvious that the shape fits inside a $9times 15$ rectangle, so the area cannot be more than $9times 15 mathrm m^2.$
$endgroup$
– David K
Jan 22 at 18:54










3 Answers
3






active

oldest

votes


















0












$begingroup$

Hint : area of Trapezoid is calculated by



$$ frac{base_a + base_b}{2} cdot height $$






share|cite|improve this answer









$endgroup$





















    0












    $begingroup$

    As has been explained in comments, your formula doesn't work. Instead, split it up into two shapes. You have two shapes, a $7times 9$ right-angled triangle, and an $8times 9$ rectangle. Calculate their areas and the area of the trapezium is their sum.



    enter image description here






    share|cite|improve this answer









    $endgroup$





















      0












      $begingroup$

      Hint



      Divide it into these polygons and determinate the areas separately. You might need to use the Pythagorean theorem.



      enter image description here



      If not, you might want to use the formula for the area of trapezoides:



      $$text{Area}=frac{text{base1}+text{base2}}{2}·text{height}$$






      share|cite|improve this answer









      $endgroup$













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        3 Answers
        3






        active

        oldest

        votes








        3 Answers
        3






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes









        0












        $begingroup$

        Hint : area of Trapezoid is calculated by



        $$ frac{base_a + base_b}{2} cdot height $$






        share|cite|improve this answer









        $endgroup$


















          0












          $begingroup$

          Hint : area of Trapezoid is calculated by



          $$ frac{base_a + base_b}{2} cdot height $$






          share|cite|improve this answer









          $endgroup$
















            0












            0








            0





            $begingroup$

            Hint : area of Trapezoid is calculated by



            $$ frac{base_a + base_b}{2} cdot height $$






            share|cite|improve this answer









            $endgroup$



            Hint : area of Trapezoid is calculated by



            $$ frac{base_a + base_b}{2} cdot height $$







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered Jan 22 at 18:55









            kelalakakelalaka

            3351314




            3351314























                0












                $begingroup$

                As has been explained in comments, your formula doesn't work. Instead, split it up into two shapes. You have two shapes, a $7times 9$ right-angled triangle, and an $8times 9$ rectangle. Calculate their areas and the area of the trapezium is their sum.



                enter image description here






                share|cite|improve this answer









                $endgroup$


















                  0












                  $begingroup$

                  As has been explained in comments, your formula doesn't work. Instead, split it up into two shapes. You have two shapes, a $7times 9$ right-angled triangle, and an $8times 9$ rectangle. Calculate their areas and the area of the trapezium is their sum.



                  enter image description here






                  share|cite|improve this answer









                  $endgroup$
















                    0












                    0








                    0





                    $begingroup$

                    As has been explained in comments, your formula doesn't work. Instead, split it up into two shapes. You have two shapes, a $7times 9$ right-angled triangle, and an $8times 9$ rectangle. Calculate their areas and the area of the trapezium is their sum.



                    enter image description here






                    share|cite|improve this answer









                    $endgroup$



                    As has been explained in comments, your formula doesn't work. Instead, split it up into two shapes. You have two shapes, a $7times 9$ right-angled triangle, and an $8times 9$ rectangle. Calculate their areas and the area of the trapezium is their sum.



                    enter image description here







                    share|cite|improve this answer












                    share|cite|improve this answer



                    share|cite|improve this answer










                    answered Jan 22 at 18:56









                    Rhys HughesRhys Hughes

                    6,9691530




                    6,9691530























                        0












                        $begingroup$

                        Hint



                        Divide it into these polygons and determinate the areas separately. You might need to use the Pythagorean theorem.



                        enter image description here



                        If not, you might want to use the formula for the area of trapezoides:



                        $$text{Area}=frac{text{base1}+text{base2}}{2}·text{height}$$






                        share|cite|improve this answer









                        $endgroup$


















                          0












                          $begingroup$

                          Hint



                          Divide it into these polygons and determinate the areas separately. You might need to use the Pythagorean theorem.



                          enter image description here



                          If not, you might want to use the formula for the area of trapezoides:



                          $$text{Area}=frac{text{base1}+text{base2}}{2}·text{height}$$






                          share|cite|improve this answer









                          $endgroup$
















                            0












                            0








                            0





                            $begingroup$

                            Hint



                            Divide it into these polygons and determinate the areas separately. You might need to use the Pythagorean theorem.



                            enter image description here



                            If not, you might want to use the formula for the area of trapezoides:



                            $$text{Area}=frac{text{base1}+text{base2}}{2}·text{height}$$






                            share|cite|improve this answer









                            $endgroup$



                            Hint



                            Divide it into these polygons and determinate the areas separately. You might need to use the Pythagorean theorem.



                            enter image description here



                            If not, you might want to use the formula for the area of trapezoides:



                            $$text{Area}=frac{text{base1}+text{base2}}{2}·text{height}$$







                            share|cite|improve this answer












                            share|cite|improve this answer



                            share|cite|improve this answer










                            answered Jan 22 at 18:57









                            Dr. MathvaDr. Mathva

                            2,241526




                            2,241526






























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