A rectangular garden 63 m long and 54 m bro | vedclass

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Question

(A) The length of the outer rectangle is $L = 63 \ m$ and the breadth is $B = 54 \ m$.The area of the outer rectangle is $63 	imes 54 = 3402 \ m^2$.S

Vedclass · Accepted Answer

$12321$

Vedclass · Answer

(A) The length of the outer rectangle is $L = 63 \ m$ and the breadth is $B = 54 \ m$.The area of the outer rectangle is $63 	imes 54 = 3402 \ m^2$.Since the path is $3 \ m$ wide inside,the length of the inner rectangle is $l = 63 - (2 	imes 3) = 63 - 6 = 57 \ m$.The breadth of the inner rectangle is $b = 54 - (2 	imes 3) = 54 - 6 = 48 \ m$.The area of the inner rectangle is $57 	imes 48 = 2736 \ m^2$.The area of the path is the difference between the outer and inner areas: $3402 - 2736 = 666 \ m^2$.The cost of paving the path is given by $	ext{Area} 	imes 	ext{Rate} = 666 	imes \frac{37}{2} = 333 	imes 37 = 12321 \ Rs.$

$A$ rectangular garden $63 \ m$ long and $54 \ m$ broad has a path $3 \ m$ wide inside it. Find the cost of paving the path at $Rs. 37/2$ per square metre (in $Rs.$).

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