Question

Find the Cost of laying grass in a triangular field of sides 90m ., 70m, 40m, at the rate of 5rs per square meters

Answer 1

Answer:

Step-by-step explanation:

Let sides of a triangle be a =90, b=70 and c =40

Now, semi-perimeter of triangle.

s=a+b+c/2

=90+40+70/2

=200/2

=100

∴ Area of triangle=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√ [by Heron's formula]

=(100-90)(100-70)(100-40)−−−−−−−−−−−−−−−−−−−−−−−−√

=(10*30*60)−−−−−−−−−−−−−√

=1800−−−−−−−−−−−−−−−−−−−−−−√

=300 root 2

∵cost of leveling per m^2= 5*300 root 2

                                        =1500√ 2 RS or 1500 * 1.414 Rs