Question

A rectangular hall is 22m long and 15.5m broad.A carpet is laid inside the hall leaving all around a margin 75cm from the walls.Find the area of carpet and the area of the strip left uncovered.If the width of the carpet is 82cm,find its cost at the rate of rupees 124 per meter<br />please someone solve this question so that it becomes possible for me to believe that some people now also have God gifted intelligent minds who could contribute to India's progress

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.124 per meter
Cost of fencing the strip = 350 × 124
= Rs. 43400 Answer
Hope this helps you !!