Question

What is the area of this composite shape?

Answer 1

Answer:

$62\ in^2$

Step-by-step 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

$A=\frac{1}{2}(b)(h)$

where

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

substitute

$A_1=\frac{1}{2}(3)(4)=6\ in^2$

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

$A=A_1+A_2$

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