Question

What is the area of this figure?

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Answer 1

The parallelogram is 45 square meters. Multiply the base by the height. The triangle is 36 square meters. Multiply the base by the height and divide by two. Thus, the answer is 81.

Answer 2

The area of the figure is
`81\ m^(2)`

Explanation:

we know that

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

step 1

Find the area of parallelogram

`A=bh`

we have

`b=9\ m`

`h=5\ m`

substitute

`A=(9)(5)=45\ m^(2)`

step 2

Find the area of a triangle

`A=(1/2)bh`

we have

`b=9\ m`

`h=8\ m`

substitute

`A=(1/2)(9)(8)=36\ m^(2)`

step 3

Find the area of the figure

`45\ m^(2)+36\ m^(2)=81\ m^(2)`