SSC CHSL 2021 PYQ — Question 65

SSC CHSL - 16 April 2021 - Shift 2 • Quantitative Aptitude • Q65

The area of a triangular field whose sides are 96 m, 110 m, and 146 m is equal to the area of a rectangular park whose sides are in the ratio 3 : 2. What is the perimeter (in m) of the rectangular park?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 40 $\sqrt{55}$

According to the question

The area of a triangular field = The area of a rectangular park

½ * 96 * 110 = 3x * 2x

96 * 55 = 6x²

x² = 16 * 55

x = 4 $\sqrt{55}$

Now,

Perimeter of rectangular park = 2 ( 3x + 2x)

= 2 * 5x = 2* 5 * 4 $\sqrt{55}$ = 40 $\sqrt{55}$