SSC GD 2024 PYQ — Question 49

SSC GD Const (English) - 06 March 2024 - Shift 2 • Quantitative Aptitude • Q49

If the ratio of the areas of two squares is 4 : 9, then what is the ratio of their corresponding sides?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 2 : 3.

We know that,

Area of square = side2

Let the side lengths of the two squares be a and b

⇒ a2b2=49{a^2 \over b^2} = {4 \over9}

⇒ ab=49{a \over b} = \sqrt{4 \over9}

⇒ ab=23{a \over b} = {2 \over3}

Hence, the ratio of the corresponding sides of the squares is 2 : 3