Question

The side of a triangular plot are in the ratio of 3:5:7 and it's perimeter is 300m find its area

Answer 1

Let the sides of the triangle be 3x, 5x and 7x repsectively and since the perimeter is 300m

So, 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

Step-by-step explanation:

given-

ratio 3:5:7

perimetre-300m

to find - area?

formula - side 1+2+3=perimeter

area=1/2×base×height

solutions-

let the common multiple be X

3x+5x+7x= 300

15x=300

X=300÷15

x = 20

so,sides are 3×20=60

5×20=100

7×20=140

now ahead u can do