Question

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle(in m²)?

• A. 36
• B. 72
• C. 96
• D. 48

Answer 1

The correct option is D

48

Let the side of a square be 'a' and length and breadth of a rectangle be 'l' and 'b' respectively.

Given,
Perimeter of square = Perimeter of rectangle

4a = 2(l +b)

4 $\times$ 8 = 2(12 + b)

32 = 24 + 2b

8 = 2b

Hence b = 4 m

Area of rectangle = l $\times$ b = 12 $\times$ 4 = 48 $m^2$