) The auditorium of a school has the length of 47m and breadth of 15m. A carpet is laid inside the auditorium leaving all around a margin of 3m from the walls. (i) Find the area of the carpet. (2) (ii) Find the area of the strip left uncovered. (2) (iii) If the cost of the carpet is ₹15 per sq.m, find the total cost of the carpet.
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a school has a hall which is 22 M long and 15.5 M broad. a carpet is laid inside the hall living all around a margin of 75 cm from the wall. find the area of the carpet and the area of the stripped left uncovered if the width of the carpet is 82 cm. find its cost at the rate of 60 rupees per metre
Given : The auditorium of a school has the length of 47m and breadth of 15m. A carpet is laid inside the auditorium leaving all around a margin of 3m from the walls
To Find : (i) Find the area of the carpet. (ii) Find the area of the strip left uncovered. (iii) If the cost of the carpet is ₹15 per sq.m, find the total cost of the carpet.
Solution:
Auditorium Length = 47 m
Auditorium Breadth = 15 m
Auditorium Area = 47 x 15 = 705 m²
A carpet is laid inside the auditorium leaving all around a margin of 3m from the walls.
Carpet Length = 47 - 3 - 3 = 41 m
Carpet breadth = 15 - 3 - 3 = 9 m
Carpet Area = 41 * 9 = 369 m²
cost of the carpet is ₹15 per sq.m
Total cost of Carpet = 369 * 15 = Rs 5535
area of the strip left uncovered = Auditorium Area - Carpet Area
= 705 - 369
= 336 m²
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