Question

A room 4.9 m long and 3.5 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at Rs.80 per metre.

Answer 1

A room is covered with carpet of length = 4.9 m and breadth = 3.5 m.
leaving an uncovered margin of 25cm or 0.25 m all around the room.
so, length = original length - 2 $\times$ uncovered margin
= 4.9 m - 2 $\times$ 0.25 m = 4.4 m

Breadth = original breadth -2 $\times$ uncovered margin
= 3.5 m - 2 $\times$ 0.25 m = 3 m

given, breadth of the carpet is 0.8 m
Then, length of carpet = $\frac{\text{area of carpet}}{\text{breadth of carpet}}$
= 4.4 m $\times \frac{3m}{0.8m}$
= 16.5 m
So, length of carpet = 16.5 m

Now, cost = length of carpet $\times$ rate
= 16.5 $\times$ 80 = ₹ 1320
Hence, the total cost = ₹ 1320