A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the co

Question

A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the cost, in INR, of laying electric wires along its two diagonals, at the rate of ₹125 per m, is

Accepted Answer

We can say 40m is the perimeter of the park so side of rhombus = 10 Now 1 2 × d 1 × d 2 = 96 \frac{1}{2}	imes\ d_1	imes\ d_2\ =\ 96 2 1 ​ × d 1 ​ × d 2 ​ = 96 so we get d 1 × d 2 = 192 \ d_1	imes\ d_2\ =\ 192 d 1 ​ × d 2 ​ = 192 (1) And as we know diagonals of a rhombus are perpendicular bisector