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, finds its cost at RS. 80 per metre.

Question

Philoid · Accepted Answer

Given:

Length = 4.9 m

Breadth = 3.5 m

Margin = 25 cm = 0.25 m

Breadth of carpet = 80 cm = 0.8 m

Cost = Rs 80 per meter

Now,

Length to be carpeted = 4.9 m - (0.25 + 0.25) m

= 4.4 m

Breadth to be carpeted = 3.5 m - (0.25 + 0.25) m

= 3 m

Therefore,

Area to be carpeted = Length to be carpeted × Breadth to be carpeted

= 4.4 m × 3 m

= 13.2 m²

Area of carpet = Area to be carpeted = 13.2 m²

Now,

= 16.5 m

Now,

Cost of 1 m carpet = Rs 80

Therefore,

Cost of 16.5 m carpet = Rs 80 × 16.5 m

= Rs 1,320