What would be the cost of laying a carpet on | vedclass

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(A) Let the length of the floor be $32x$ and the breadth be $21x$.Given that the perimeter of the floor is $212$ feet.The formula for the perimeter of

Vedclass · Accepted Answer

$6720$

Vedclass · Answer

(A) Let the length of the floor be $32x$ and the breadth be $21x$.Given that the perimeter of the floor is $212$ feet.The formula for the perimeter of a rectangle is $2 	imes (	ext{length} + 	ext{breadth})$.So,$2(32x + 21x) = 212$.$2(53x) = 212$.$106x = 212$.$x = 2$.Therefore,length $= 32 	imes 2 = 64$ feet and breadth $= 21 	imes 2 = 42$ feet.The area of the floor is $	ext{length} 	imes 	ext{breadth} = 64 	imes 42 = 2688$ square feet.The cost of laying the carpet is $	ext{Area} 	imes 	ext{cost per square foot} = 2688 	imes 2.5 = ₹ 6720$.

What would be the cost of laying a carpet on a floor which has its length and breadth in the respective ratio of $32:21$ and where its perimeter is $212$ feet,if the cost per square foot of laying the carpet is $₹ 2.5$?

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