Question

8. A school has a hall which is 22 m long and 15.5 m broad. A carpet is 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
60 per m.
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Answer 1

Answer:

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.60 per meter

Cost of fencing the strip = 350 × 60

= Rs. 21000

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Step-by-step explanation: