Question

Find the area of the composite figure.

Atraingle =

7.5 yd2
21 yd2
30 yd2
15 yd2

Answer 1

Part a) The area of the composite figure is
`81\ yd^(2)`

Part b) The area of the triangle is
`15\ yd^(2)`

Explanation:

we know that

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

Step 1

Find the area of rectangle

`A1=(6)(7)=42\ yd^(2)`

Step 2

Find the area of triangle

`A2=(1)/(2)(5)(6)=15\ yd^(2)`

Step 3

Find the area of trapezoid

`A3=(1)/(2)(9+7)(3)=24\ yd^(2)`

Step 4

Find the area of the composite figure

`A=A1+A2+A3=(42+15+24)=81\ yd^(2)`