Find the side of a piece of cloth in the shape of an equilateral triangle, who

Question

Find the side of a piece of cloth in the shape of an equilateral triangle, whose area costs as much to paint at Rs 10/ square metre as it would cost to lay a border around the three sides at Rs 25 per metre?

Options:

A . 13.33 m

B . 17.32 m

C . 14.14 m

D . 8.66 m

Answer: Option B
:
B

Option (b)

Perimeter = 3a

Area = $\frac{\sqrt{3}}{4 a^{2}}$

10x $\frac{\sqrt{3}}{4 a^{2}}$ = 25x3a

a= $\frac{30}{\sqrt{3}}$ = 17.32 m

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