Question
The area of a square is 225 cm2 which is 125
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 = 225 cm2 Length of each side of the square = √225 = 15 cm Area of the rectangle = 225 + 125 = 350 cm2 Length of the rectangle = 10 + 15 = 25 cm So, area of rectangle = length × breadth = 25 × breadth = 350 cm2 So, breadth of the rectangle = 350/25 = 14 cm Therefore, perimeter of the rectangle = 2 × (length +breadth) = 2 × (14 + 25) = 78 cm
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