Question

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

A) 1520 sq.m B) 2420 sq.m C) 2480 sq.m D) 2520 sq.m

Answer 1

Answer:

D) 2520 sq.m

Step-by-step explanation:

let length = a

and breadth = b

given, a-b = 23

=> a = b+23 ----(1)

given, perimeter = 206

=> 2(a+b) = 206

=> a+b = 206/2 = 103

=> b+23+b = 103 [putting a from (1)]

=> 2b = 103-23 = 80

=> b = 80/2 = 40

=> a = b+23 = 40+23 = 63

=> area = ab = 40×63 = 2520 sq.m