Question
The area of a rectangle with length and breadth in the
ratio of 7:3, respectively, is 189 cm². If the perimeter of the rectangle is the same as the perimeter of a square, then find the length of each side of the square.Solution
ATQ, Let the length and breadth of the rectangle be '7x' cm and '3x' cm, respectively. ATQ: '7x' X '3x' = 189 Or, 21x² = 189 Or, x² = 189 ÷ 21 = 9 Or, 'x' = ± 3 As length and breadth cannot be negative, therefore, 'x' = 3 Perimeter of a rectangle = 2 X (Length + Breadth) = 2 X (7x + 3x) = 2 X 10x = 2 X 10 X 3 = 60 cm Perimeter of a square = 4 X side Length of each side of the square = (60/4) = 15 cm
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