Find out the perimeter of the rectangle, which area is 460 Sq. cm and the length is 15% more than it

Find out the perimeter of the rectangle, which area is 460 Sq. cm and the length is 15% more than its width.

A. 20 cm

B. 23 cm

C. 43 cm

D. 86 cm

Answer: D . 86 cm

Justification:

Area of the rectangle A = L * B

The length of the rectangle L = 1.15B

=> A = 1.15 * B * B = 460 Sq. cm = > B = 20 cm => L = 23 cm

Perimeterof the rectange P = 2 * (L + B) = 2 * (23 + 20) = 2 * 43 = 86 cm.