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:

Given that

length of hall PQ = 22 m

and breadth of hall QR = 15.5 m

Area of the school hall PQRS = 22 m x 15.5 m

= 341 m2

Length of the carpet AB = 22 m – (0.75 m + 0.75 m)

= 20.5 m

[Since 100 cm = 1 m]

Breadth of the carpet BC = 15.5 m – (0.75 m + 0.75 m)

= 14 m

Area of the carpet ABCD = 20.5 m x 14 m

= 287 m2

Area of the strip = Area of the school hall

PQRS – Area of the carpet ABCD = 341 m2 – 287 m2  

= 54 m2

Now, area of the 1 m length of carpet = 1 m x 0.82 m

= 0.82 m2

Thus,

Length of the carpet whose area is 287 m2 = 287 m2 + 0.82 m2

= 350 m

Cost of the 350 m long carpet = Rs. 18 x 350

= Rs. 6300

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Answer 2

Answer:

rs = 6300

Step-by-step explanation:

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