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Sum

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.

Concept: Concept of Ratio

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