A room is 1.3 m long and 9 m broad. Find the cost of carpeting the room with a carpet .75 cm broad at the rate of Rs 6.40 per meter. Solution First, I am assuming that the carpet it 75 cm broad, not .75 cm broad. It makes no sense that carpet would be only .75 cm. There are two ways you could lay the carpet. Two 9 m long segments would add up to 18 m of carpet, with some waste. The carpet is 75 cm, or .75 meters, wide. Two segments laid side by side would be 1.5 m, and the room is only 1.3 m long. The other way to lay the carpet is to do several short segments. This turns out to be cheaper. It would take 12 short segments laid side by side to cover the 9 m breadth of the room. Each segment would be 1.3 m long. So, you would only need a total of 15.6 m of carpet. .75 m x 12 = 9 m 12 x 1.3 m = 15.6 m The carpet costs Rs 6.40 per meter, so it would cost: 15.6 x 6.4 = Rs 99.84.

1. A room is 1.3 m long and 9 m broad. Find the cost of carpeting the room with a carpet .75 cm
broad at the rate of Rs 6.40 per meter.
Solution
First, I am assuming that the carpet it 75 cm broad, not .75 cm broad. It makes no sense that
carpet would be only .75 cm.
There are two ways you could lay the carpet. Two 9 m long segments would add up to 18 m of
carpet, with some waste. The carpet is 75 cm, or .75 meters, wide. Two segments laid side by
side would be 1.5 m, and the room is only 1.3 m long.
The other way to lay the carpet is to do several short segments. This turns out to be cheaper. It
would take 12 short segments laid side by side to cover the 9 m breadth of the room. Each
segment would be 1.3 m long. So, you would only need a total of 15.6 m of carpet.
.75 m x 12 = 9 m
12 x 1.3 m = 15.6 m
The carpet costs Rs 6.40 per meter, so it would cost:
15.6 x 6.4 = Rs 99.84