Question
Perimeter of a rectangle is 40% more than that of a
square of side 25 cm. If the difference between the length and breadth of the rectangle is 12 cm, respectively, then find the length of the rectangle.Solution
ATQ, Perimeter of square = 25 X 4 = 100 cm Perimeter of rectangle = 1.40 X 100 = 140 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 12' cm ATQ, 2(x + x + 12) = 140 Or, 2x + 12 = 70 Or, 2x = 58 So, 'x' = 29 Length of rectangle = 'x + 12' = 29 + 12 = 41 cm
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