SSC GD 2019 PYQ — Question 64

SSC GD Constable (English) - 3 March 2019 Shift 1 • Quantitative Aptitude • Q64

The length and breadth of a rectangle are in the ratio 8:3. Find Its area if perimeter is 132 cm.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 864 cm2

Let the length and breadth of the rectangle be 8x and 3x respectively.

Perimeter of rectangle = 2(l + b)

A/c to ques.

⇒ 2(l + b) = 132

⇒ 2(8x + 3x) = 132

⇒ 2 × 11x = 132

⇒ x = 132/22 = 6

Length and breadth are 8 × 6 = 48cm and 3 × 6 = 18cm

Area of Rectangle = Length × Breadth 

⇒ 48 × 18 = 864 cm2.