Question

A room is 16 m long and 12 m wide. Find the cost of carpeting the room with a carpet 75 cm wide at ₹ 22.50 per metre.

Answer 1

Given:

Room dimensions: length = 16 m, width = 12 m.

Carpet width = 75 cm = 0.75 m.

Cost of carpet = ₹ 22.50 per metre (length).

Step-wise calculation:

1. Area of the room

= 16 × 12

= 192 m²

2. Area covered by 1 metre length of the carpet

= width × 1 m

= 0.75 × 1

= 0.75 m²

3. Metres of carpet required

= Total area ÷ Area per metre

= 192 ÷ 0.75

= 256 metres

4. Total cost

= 256 × ₹ 22.50

= ₹ 5760

The cost of carpeting the room is ₹ 5760.