Question

the sides a rectangler plot are in the ratio 3:5:7 and perimeter is 300 meter find the area

Answer 1

Answer:

Step-by-step explanation:

let sides of triangle be 3x,5x and 7x.and perimeter is 300m.

so, 3x+5x+7x=300

15x=300

x=300/15

x=20m

so, lenght of one side= 60m

lenght of second side= 100m

lenght of third side= 140m

now perimeter 300m

therefore semi-perimeter= 150m

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