Question

The areas of two squares are in the ratio 49 : 64. Find the ratio of their sides.

• A. 7:8
• B. 8:7
• C. 6:5
• D. 5:6

Answer 1

The correct option is A 7:8

Area of 1st square $=a_1^2$
Area of 2nd square $=a_2^2$
According to question,
$\frac{a_1^2}{a_2^2}=\frac{49}{64}$
$\Rightarrow \frac{a_1}{a_2}=\frac{7}{8}$

The ratio of sides is 7:8