Question

What is the area of this composite shape?

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----- in²

Answer 1

`62\ in^2`

Explanation:

we know that

The area of the composite figure is equal to the area of a right triangle plus the area of rectangle

see the attached figure to better understand the problem

step 1

Find the area of the right triangle

we know that

The area of triangle is

`A=(1)/(2)(b)(h)`

where

`b=7-4=3\ in\\h=12-8=4\ in`

substitute

`A_1=(1)/(2)(3)(4)=6\ in^2`

step 2

Find the area of rectangle

The area of rectangle is equal to

`A=LW`

where

`L=8\ in\\W=7\ in`

substitute

`A_2=(8)(7)=56\ in^2`

step 3

Find the area of the composite figure

Adds the areas

`A=A_1+A_2`

`A=6+56=62\ in^2`