Question
Perimeter of a rectangle is 70% more than that of a
square of side 22 cm. If the difference between the length and breadth of the rectangle is 15 cm, respectively, then find the length of the rectangle.Solution
ATQ, Perimeter of square = 22 X 4 = 88 cm Perimeter of rectangle = 1.70 X 88 = 149.6 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 15' cm ATQ, 2(x + x + 15) = 149.6 Or, 2x + 15 = 74.8 Or, 2x = 59.8 So, 'x' = 29.9 Length of rectangle = 'x + 15' = 29.9 + 15 = 44.9 cm
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