Question

The area of the trapezoid is 75 cm2.



What is the height of the trapezoid?



cm



Trapezoid with base one equal to nine centimeters and base two equal to sixteen centimeters

Answer 1

https://static.k12.com/calms_media/media/1564500_1565000/1564704/1/4b3028631631a1a6d018d642611696b1709fa56a/MS_IMB-1401012-1100601.jpg

Answer 2

Formula for finding the area of trapezoid:
\(\large h(\frac{a + b}{2})\)

Answer 3

\(\bf \textit{area of a trapezoid}=\cfrac{h}{2}(base1+base2)\)

Answer 4

h=12?

Answer 5

we know that a can equal to 9 and b can equal to 16 (the placement doesn't really matter). the total area is 75cm^2. so after substituting the values to the equation, we can find out what h is equal to.

Answer 6

\[h \times \frac{9+16}{2} = 75\text{cm}^2\]

Answer 7

ok so h=75cm^2

Answer 8

thanks @calculusxy

Answer 9

`ok so h=75cm^2` that's false

Answer 10

what does \(\Large \frac{9+16}{2}\) evaluate to?

Answer 11

12 1/2?

Answer 12

or 12.5, correct

Answer 13

so,

\[\Large h \times \frac{9+16}{2} = 75\]

turns into

\[\Large h \times 12.5 = 75\]

do you see how to isolate h from here?

Answer 14

subtract 12.5 from 75. Right?

Answer 15

you need to undo the multiplication

what is the opposite of multiplication?

Answer 16

so I divide 12.5 from 75?

Answer 17

you would divide both sides by 12.5

\[\Large h \times 12.5 = 75\]

\[\Large \frac{h \times 12.5}{12.5} = \frac{75}{12.5}\]

\[\Large \frac{h \times \cancel{12.5}}{\cancel{12.5}} = \frac{75}{12.5}\]

\[\Large h = \frac{75}{12.5} = ???\]

Answer 18

=6

Answer 19

correct

Answer 20

so 6 is my answer

Answer 21

yep `6 cm` is the height

Answer 22

ok thank you so much you are a lifesaver!!!

Answer 23

you're welcome