What will be the cost of gardening a 1 text{ | vedclass

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(C) Let the length and breadth of the rectangular plot be $L$ and $B$ respectively.Perimeter $= 2(L + B) = 340 	ext{ m}$,so $L + B = 170 	ext{ m}$.T

Vedclass · Accepted Answer

$3440$

Vedclass · Answer

(C) Let the length and breadth of the rectangular plot be $L$ and $B$ respectively.Perimeter $= 2(L + B) = 340 	ext{ m}$,so $L + B = 170 	ext{ m}$.The area of the $1 	ext{ m}$ broad boundary (path) around the plot is given by the formula: $	ext{Area} = 2(L + B) 	imes w + 4w^2$,where $w$ is the width of the path.Here,$w = 1 	ext{ m}$.$	ext{Area} = 340 	imes 1 + 4(1)^2 = 340 + 4 = 344 	ext{ m}^2$.The cost of gardening is at the rate of $₹ 10$ per square metre.$	ext{Total Cost} = 344 	ext{ m}^2 	imes 10 	ext{ ₹/m}^2 = ₹ 3440$.

What will be the cost of gardening a $1 \text{ m}$ broad boundary around a rectangular plot having a perimeter of $340 \text{ m}$ at the rate of $₹ 10$ per square metre?

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