Question

Find the area of the composite figure.

Atraingle =

7.5 yd2
21 yd2
30 yd2
15 yd2

Answer 1

Answer:

Part a) The area of the composite figure is $81\ yd^{2}$

Part b) The area of the triangle is  $15\ yd^{2}$

Step-by-step 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

$A2=\frac{1}{2}(5)(6)=15\ yd^{2}$

Step 3

Find the area of trapezoid

$A3=\frac{1}{2}(9+7)(3)=24\ yd^{2}$

Step 4

Find the area of the composite figure

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