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

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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