Question

A lawn in a garden is in the shape of an equilateral triangle. If the length of the one side of the equilateral triangle is 75 m, find the of cost of fencing at the rate of Rs. 12 per metre?

Answer 1

Given that, the lawn is in the shape of an equilateral triangle having side $75m$.

To find out: Cost of fencing the lawn at the rate of $Rs.12$ per metre.

We know that, an equilateral triangle has all sides equal.

Hence, perimeter of an equilateral triangle of side $a$ is $3a$,

$\therefore$ Perimeter of the lawn $=3\times 75=225m$

Now, cost of fencing $1m=Rs.12$

$\therefore$ The cost of fencing $225m=Rs.12\times 225$

$\Rightarrow Rs.2700$

Hence, the cost of fencing the lawn is $Rs.2700$.