Question
Perimeter of a rectangle is 40% more than that of a
square of side 40 cm. If difference between length and breadth of the rectangle is 8 cm, then find the length of the rectangle.Solution
Perimeter of square = 40 Γ 4 = 160 cm Perimeter of rectangle = 1.40 Γ 160 = 224 cm Let, breadth of rectangle = βxβ cm So, length of rectangle = βx + 8β cm So, 2(x + x + 8) = 224 Or, 2x + 8 = 112 Or, 2x = 104 Or, x = 52 Length of rectangle = 52 + 8 = 60 cm
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