Question

Find the area of the composite figure given below.

• A. 252 sq yd
• B. 306 sq yd
• C. 412 sq yd
• D. 176 sq yd

Answer 1

The correct option is B 306 sq yd

We can divide the above figure into a rectangle and a triangle.

$\underset{–}{\text{Area of a rectangle}}=Length\times Width$


$\text{Length = 18 yd}$
$\text{Width = 14 yd}$

$\Rightarrow 18\times 14=252sqyd$

$\underset{–}{\text{Area of a triangle}}=\frac{1}{2}\times Lengthofthebase\times Height$

$\text{Length of the base = 18 yd}$
$\text{Height = 6 yd}$

$\Rightarrow \frac{1}{2}\times 18\times 6=54sqyd$


$\underset{–}{\text{Area of the composite figure}}$ =
$252sqyd+54sqyd=306sqyd$