Question

The sides of a triangular plot are in the ratio 3:5:4 and its perimeter is 900 m find the area of the ground

Answer 1

3x + 5x + 7x=300

=15x=300

x=300/15

x=20 m

so,length of one side=60 m

length of second side=100 m

and length of third side=140 m

Now perimeter=300m

therefore semi-perimeter=150 metre

 

now according to herons formula -

 Area = root 150* (150-60) * (150-100) * (150-140)

         = root 150 * 90 * 50 * 10

         = root 30*5 * 30*3 * 5*10 *10

         = root 30^2 * 5^2 * 10^2 *3

         = 30 * 5 * 10 * root 3

         =  1500 root 3

Answer 2

Answer:

Step-by-step explanation:

Let the side of triangular plot =3x,5x and 4x

Perimeter =900m

3x+5x+4x=900

12x=900

X=900/12

=75

Side of triangular plot =225m,375m and 300m

s={225+375+300}/2

=450m

Area of plot

=√450(450-225)(450-375)(450-300)

=√450×225×75×150

√9×5×10×225×25×3×10×3×5

=3×5×10×15×5×3

=33750sq.m