A plot of land is in the shape of a right-ang | vedclass

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Question

(C) Let the length of each equal side of the right-angled isosceles triangle be $x 	ext{ m}$.According to the Pythagorean theorem,$x^2 + x^2 = (50 \s

Vedclass · Accepted Answer

More than ₹$500$

Vedclass · Answer

(C) Let the length of each equal side of the right-angled isosceles triangle be $x 	ext{ m}$.According to the Pythagorean theorem,$x^2 + x^2 = (50 \sqrt{2})^2$.$2x^2 = 2500 	imes 2 = 5000$.$x^2 = 2500$,which gives $x = 50 	ext{ m}$.The perimeter of the triangle is the sum of all sides: $P = x + x + 50 \sqrt{2} = 50 + 50 + 50 	imes 1.414 = 100 + 70.7 = 170.7 	ext{ m}$.The total cost of fencing is $170.7 	imes 3 = ₹512.1$.Since $512.1 > 500$,the correct option is more than ₹$500$.

$A$ plot of land is in the shape of a right-angled isosceles triangle. The length of the hypotenuse is $50 \sqrt{2} \text{ m}$. The cost of fencing is ₹$3$ per metre. The total cost of fencing the plot will be

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