a school has a hall which is 30 m long and 25 m broad acarpet is laid inside the hall leaving all around a margin of 50 cm from the walls find the area of carpet and area of the strip left uncovered if the width of carpet is 75 cm find its cost at the rate of ruppes 40 per m
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Length = 30m and Breadth =25 m
The area of the hall = L × B = 30 × 25 = 750
Margin of carpet = 75 cm = 0.75 m
Area of carpet = (30 - 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.60 per meter
Cost of fencing the strip = 350 × 60
= Rs. 21000
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