The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?

• A. 34 cm
• B. 15 cm
• C. 18 cm
• D. 26 cm

Answer: (A)

Let the side of the square be 's' cm   length of rectangle = (s+5) cm   breadth of rectangle = (s-3)cm   (s+5) (s-3) =    s 2  - 5s - 3s - 15 =  s 2     2s = 15   Perimeter of rectangle = 2(L+B) = 2(s+5 + s?3) = 2(2s + 2)   = 2(15 + 2) = 34 cm