Question

What is the area of this figure? Enter your answer as a decimal in the box. cm² A parallelogram with a length of 11 cm. A triangle atop the parallelogram has a short leg measuring 7 cm. A right triangle created inside the parallelogram has a long leg measuring 9 cm.

Answer 1

the answer is 137.5 i take the test

Answer 2

The area of the figure is
`137.5\ cm^(2)`

Explanation:

we know that

The area of the figure is equal to the area of parallelogram plus the area of the triangle atop the parallelogram

Step 1

Find the area of parallelogram

The area of parallelogram is equal to

`A=bh`

we have

`b=11\ cm`

`h=9\ cm`

substitute

`A=11*9=99\ cm^(2)`

Step 2

Find the area of the triangle atop the parallelogram

The area of the triangle is equal to

`A=(1)/(2)bh`

we have

`b=11\ cm`

`h=7\ cm`

substitute

`A=(1)/(2)(11)(7)=38.5\ cm^(2)`

therefore

The area of the figure is equal to

`99\ cm^(2)+38.5\ cm^(2)=137.5\ cm^(2)`