Question
If the length and breadth of a rectangle are in the
ratio 7:3 and its perimeter is 40 cm, then the area of the rectangle (in cm²) is :Solution
Using the formula, Perimeter = 2(l + b) & Area = length x breadth Let the length and breadth of the rectangle be 7x and 3x cm respectively. Then, 2(7x + 3x) = 40 ⇒ 20x = 40 ⇒ x = 40/20 = 2 Therefore, length = 7x = 14 cm Breadth = 3x = 6 cm Therefore, area = lb = 14 x 6 = 84 cm²
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