The adjacent sides of a rectangle are in the ratio 5 : 3 and the area of the rectangle is 29.4 sq.cm. Find the length and breadth of the rectangle.

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Solution

$Let the common multiple of the given ratio be x . Now, Length of the rectangle = 5 x cm Breadth of the rectangle = 3 x cm Area of the rectangle = Length \times Breadth = 5 x \times 3 x = 15 x^{2} {cm}^{2} According to the question, 15 x^{2} = 29.4 \Rightarrow x^{2} = 1.96 \Rightarrow x = 1.4 cm Thus, we have : Length of the rectangle = 5 \times 1.4 = 7 cm Breadth of the rectangle = 3 \times 1.4 = 4.2 cm$

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