Question

If each side of a rectangle is increased by $20\%$ then the percentage increase in its area is:

• A. $40\%$
• B. $20\%$
• C. $44\%$
• D. $30\%$

Answer 1

The correct option is C $44\%$

Area of rectangle $=xy$
Area of increased radius $=\frac{36}{25}\times y$

Increase $\%=\frac{\left(\begin{array}{c}\frac{36}{25}-1\end{array}\right)xy}{xy}\times 100$

$=\frac{11}{25}\times 100$
$=44\%$