SSC CHSL 2020 PYQ — Question 65

SSC CHSL - 14th October 2020 - Shift 3 • Quantitative Aptitude • Q65

The perimeter and length of a rectangle are in the ratio of 8 : 1, and the area of the rectangle is 1323 cm2. Find the length of the rectangle.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 21 cm

The perimeter of rectangle = 2(l + b)

⇒ Perimeter of rectangle / Length = 8

⇒ 2(l + b) / l = 8

⇒ b = 3l

The area of rectangle = lb

⇒ lb = 1323

⇒ 3l2 = 1323

⇒ l2 = 441

⇒ l = 21 cm