Question

The length of a rectangle is `1/3` of its breadth. If its perimeter is 64 m, then find the length and breadth of the rectangle.

Answer 1

Let length and breadth of rectangle be ‘l’ and ‘b’ respectively

Given that length is `1/3` of breadth,

∴ l = `1/3 xx "b"`

⇒ l = `"b"/3`

⇒ b = 3l  ...(1)

Also given that perimeter is 64 m

Perimeter = 2 × (l + b)

2 × 1 + 2 × b = 64

Substituting for value of b from (1), we get

2l + 2(3l) = 64

∴ 2l + 6l = 64

8l = 64

∴ l = `64/8` = 8 m

b = 3l

= 3 × 8

= 24 m

Ienglh l = 8 m in and breadth b = 24 m