Question

The sides of a right triangular field are in the ratio $5:3:4$ and its perimeter is $180$ m. Find the cost of levelling the field at the rate of Rs. $10$ per square metre.

• A. Rs. $13,400$
• B. Rs. $13,500$
• C. Rs. $13,000$
• D. Rs. $13,200$

Answer 1

Answer: (B)

Rs. $13,500$

The sides of a right triangular field are in the ratio $5x:3x:4x$.

Therefore, $12x=180$ m

$\Rightarrow x=15$ m

So, the sides are $75$ m, $45$ m and $60$ m.

The area of the right triangle is $1350$ sq m.

Therefore the cost of levelling at Rs. $10$/sq m is Rs. $13500$.