Question

What is the area of the given figure? (All dimensions are in $cm$)

• A. $46c{m}^2$
• B. $60c{m}^2$
• C. $36c{m}^2$
• D. $80c{m}^2$

Answer 1

The correct option is C $36c{m}^2$

Divide the figure into $3$ rectangles. The resultant figure will look as follows:
The area of figure will be the sum of areas of all 3 rectangles.
Area of rectangle ABCJ is:
$A_1=5cm\times 3cm=15c{m}^2$
Area of rectangle DZHI is:
$A_2=5cm\times 3cm=15c{m}^2$
Area of rectangle ZEFG is:
$A_3=1cm\times 6cm=6c{m}^2$

Hence, total area is:
$A=A_1+A_2+A_3$
$A=15c{m}^2+15c{m}^2+6c{m}^2$
$A=36c{m}^2$