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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)?


  1. 72

  2. 96

  3. 48

  4. 36


Solution

The correct option is C

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 × 8 = 2(12 + b)

32 = 24 + 2b

8 = 2b

Hence b = 4 m

Area of rectangle = l × b = 12 × 4 = 48 m2

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