Question

The sides of a triangular plot are in the ratio of 3:5:7 and it's perimeter is 1500m .find its area

Answer 1

Answer:

Let the variable be x.

Therefore,

1st side=3x

2nd side=5x

3rd side=7x

By the problem

3x+5x+7x=1500

15x=1500

x=1500/15

x=100m

Therefore sides are

3x=3×100=300m

5x=5×100=500m

7x=7×100=700m

Area of the triangle=64951.9053.

HOPE IT HELPS ✌️✌️✌️.

Answer 2

ANSWER:

let,

the sides of a rectangular plot is 3x,5x,7x

3x+5x+7x=1500

15x=1500

x=1500/15

x=100

then the sides of a rectangular plot is:

3x=3*100=300=a

5x=5*100=500=b

7x=7*100=700=c

now ,area of the triangle is

S=a+b+c/2

S=300+500+700/2

S=1500/2

S=750

area=√s(s-a)(s-b)(s-c)

=√750(750-300)(750-500)(750-700)

=√ 750(450)(250)(50)

= √750(5625000)

=√42,18,75,00,000

=205,395.9590644