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. (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.
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Answer:
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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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