If breadth of a room is one fifth of its length and the perimeter of the room is 24m. Find length of the room?

If breadth of a room is one fifth of its length and the perimeter of the room is 24m. Find length of the room?

Explanation

Given:

Breadth = 1/5 × Length

Perimeter = 24m

Let length = L

Breadth = L/5

Perimeter formula: P = 2(L + B)

24 = 2(L + L/5)

24 = 2(6L/5)

24 = 12L/5

24 × 5 = 12L

120 = 12L

L = 10m