Question
The area of a square is 144 cm2 which is 120
cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length of the rectangle is 10 cm more than the length of each side of the square.Solution
Area of the square = 144 cm2 Length of each side of the square = √144 = 12 cm Area of the rectangle = 144 + 120 = 264 cm2 Length of the rectangle = 10 + 12 = 22 cm So, area of rectangle = length × breadth = 22 × breadth = 264 cm2 So, breadth of the rectangle = 264/22 = 12 cm Therefore, perimeter of the rectangle = 2 × (length +breadth) = 2 × (12 + 22) = 68 cm
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