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Question
The ratio of length and breadth of a rectangle is 3 : 1, and its perimeter is 36 cm. Find the length and breadth of the rectangle.
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Solution
Let the length and breadth of the rectangle be 3x cm and x cm, respectively.
Perimeter of the rectangle = 36 cm
∴ 2(Length + Breadth) = 36 cm
⇒ 2(3x + x) = 36
⇒ 2 × 4x = 36
⇒ 8x = 36
⇒ x = 4.5
∴ Length of the rectangle = 3x = 3 × 4.5 = 13.5 cm
Breadth of the rectangle = x = 4.5 cm
Thus, the length and breadth of the rectangle is 13.5 cm and 4.5 cm, respectively.
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