Question

Calculate the area of the given composite shape.

• A. $23$ sq yd
• B. $35$ sq yd
• C. $33$ sq yd
• D. $32$ sq yd

Answer 1

The correct option is C $33$ sq yd

The decomposed image is as shown below.



Length of rectangle $1=9$ yd
Width of rectangle $1=2$ yd
Area of rectangle $1=$ Length $\times$ Width
$=9$ yd $\times$ $2$ yd
$=18$ sq yd
Length of rectangle $2=5$ yd
Width of rectangle $2=3$ yd
Area of rectangle $2=$ Length $\times$ Width
$=5$ yd $\times 3$ yd
$=15$ sq yd
Total area = Area of rectangle $1+$ Area of rectangle $2$
$=18$ sq yd $+15$ sq yd
$=33$ sq yd