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 ?
Solution
Correct Answer: Option C
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
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