Question

The cost of carpeting a room 12 m wide with a carpet of width
85 cm at 120 per metre is 28800. Find the length of the room.
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Answer 1

Given:

The cost of carpeting a room 12 m wide with a carpet of width 85 cm at 120 per metre is 28800.

To find:

Find the length of the room.

Solution:

From given, we have,

The cost of carpeting a room 12 m wide.

A carpet of width 85 cm at 120 per metre is 28800.

85 cm = 0.85 m

Let the length of the room be = "x" m

Area of the room = 12 × x

The carpet length (l) = Area of the room / 0.85 = 12x / 0.85

The cost = l × 120 = 12x / 0.85 × 120 = 28800

⇒ 12x / 0.85 × 120 = 28800

⇒ 144x / 0.85 = 2880

⇒ 144x = 2880 × 0.85

⇒ 144x = 2448

⇒ x = 2448/144

∴ x = 17

Therefore, the length of the room is 17 m.