Question

The rate of planting the grass is Rs.$x$ per $m^2$. Find the cost of planting the grass on a triangular lawn whose base is $y$ metres and height is $z$ metres.

Answer 1

Step 1: Find the area of triangle.

Given:

Base $=$ $ym$, Height $=$ $zm$

Area of triangle = $\frac{1}{2}\times base\times height$

$\frac{1}{2}\times y\times z$

$\therefore$ Area of triangle = $\frac{1}{2}yzsq.m$

Step 1: Find the rate of planting.

Rate of planting = Rs.$x$ per $m^2$

Total cost = Rate of planting $\times$ Area of triangle

$=x\times \frac{1}{2}yz$

$=\frac{1}{2}xyz$

Hence rate of planting is $\frac{1}{2}xyz$