Question

A park is in the form of a right angled triangle with hypotenuse 50 &m.If one of the side is 40m find the cost of levelling at the rate of Rs. 3 per 5q.

Answer 1

first, we have to find the area of the triangle using the third side. Let the third side be x . By Pythagoras theorem:

`x=\sqrt[]{50^2-40^2}=\sqrt[]{2500-1600}=\sqrt[]{900}=30`

So, the area of the right triangle is half of the base time height.

`\begin{gathered} A=(1)/(2)*40*30 \\ =(1200)/(2) \\ =600 \end{gathered}`

Now, the cost of leveling will be the area times the rate of leveling:

`C=600*3=1800`

THus, the cost of leveling the park is Rs. 1800.