The ratio of length and breadth of a rectangle is 3 : 1, and its perim

1.	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.
Answer» The ratio of length and breadth of a rectangle is 3 : 1 Let the common multiple be x. Length of the rectangle (l) = 3x cm and Breadth of the rectangle (b) = x cm Given, perimeter of the rectangle = 36 cm Since, Perimeter of the rectangle = 2(l + b) ∴ 36 = 2(3x + x) ∴ 36 = 2(4x) ∴ 36 = 8x ∴ x = 36/8 = 9/2 = 4.5 Length of the rectangle = 3x = 3 x 4.5 = 13.5 cm ∴ The length of the rectangle is 13.5 cm and its breadth is 4.5 cm.

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.

Answer»

The ratio of length and breadth of a rectangle is 3 : 1

Let the common multiple be x.

Length of the rectangle (l) = 3x cm and

Breadth of the rectangle (b) = x cm

Given, perimeter of the rectangle = 36 cm

Since, Perimeter of the rectangle = 2(l + b)

∴ 36 = 2(3x + x)

∴ 36 = 2(4x)

∴ 36 = 8x

∴ x = 36/8 = 9/2 = 4.5

Length of the rectangle = 3x = 3 x 4.5 = 13.5 cm

∴ The length of the rectangle is 13.5 cm and its breadth is 4.5 cm.