Question
The area of a square plot is 324 cm². The perimeter of
the rectangle is 24 cm more than the perimeter of this square. If the ratio of length to breadth of the rectangle is 5:7, find the area of the rectangle.Solution
ATQ, Side of the square = 18 cm Perimeter of the square = 18 * 4 = 72 cm Perimeter of the rectangle = 72 + 24 = 96 cm 2 * (l + b) = 96 Ratio l : b = 5 : 7 2 * (5x + 7x) = 96 2 * 12x = 96 24x = 96 x = 4 cm Length of the rectangle = 5 * 4 = 20 cm Breadth of the rectangle = 7 * 4 = 28 cm Area of the rectangle = l * b = 20 * 28 = 560 cm²
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