Question

A rectangular hall is 22m lomg and 15.5 m broad. A carpet laid inside the hall leaving all around a margin of 75 cm from the walls .Find the area of the carpet and the area of the strip left uncovered.If the width of the carpet is 82 cm , find its cost at the rate of 14.50 Rs.

Ans.287 m square ,54 m sq.,43400 Rs

Answer 1

Solution:-

Length = 22 m and Breadth = 15.5 m
The area of the hall = L × B = 22 × 15.5 = 341 m²
Margin of carpet = 75 cm = 0.75 m
Area of carpet = (22 - 2 × 0.75) (15.5 - 2 × 0.75)
⇒ (22 - 1.5) (15.5 - 1.5)
Area of the carpet = 20.5 × 14 = 287 m²
Portion uncovered = 341 - 287 = 54 m²
A meter length of the carpet = 1 m × 0.82 m = 0.82 m²
287/0.82 = 350 m of carpet
Cost of fencing the strip = Rs.14.50 per meter
Cost of fencing the strip = 350 × 14.50
= Rs. 5075 Answer