The area of a square plot of land is 7056 $m^{2}$. Find the expenditure for five layered wiring around the plot at Rs 8 per meter.
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The area of a square plot of land is 7056 $m^{2}$. Find the expenditure for five layered wiring around the plot at Rs 8 per meter.
Area = s^2 = 7056, so s = sqrt(7056) = 84 m. Perimeter = 4 * 84 = 336 m. Five layers of wiring = 5 * 336 = 1680 m. Total cost = 1680 * 8 = 13440.
The side of the square plot is the square root of its area, so the side is the square root of seven thousand sixty square meters, which equals eighty four meters. The perimeter of the plot is four times eighty four meters, giving three hundred thirty six meters. The total length of wire for five layers is five times three hundred thirty six meters, which is one thousand six hundred eighty meters, and at eight rupees per meter the total expenditure is one thousand six hundred eighty times eight, equaling thirteen thousand four hundred forty rupees.