Question

the sides of triangular plot are in ratio 5:6:7 and its perimeter is 360 m find its area​

Answer 1

Answer:

5+6+7=16

360/16

and the answer is _____

Answer 2

Step-by-step explanation:

Let the side lengths of the plot be 5x, 6x and 7x

Therefore,

5x+6x + 7x = 360 m

=> 18x = 360

=> x = 20 m

Side lengths are: 5×20, 6×20 , 7×20

= 100m , 120m, 140 m

Using heron's formula

s (semi-perimeter)= (100+120+140)/2 = 360/2 = 180 m

Area = Root(s(s-a)(s-b)(s-c))

= Root ( 180 × (180-100)×(180-120)×(180-140)

= Root (180 × 80 × 60 × 40) m²

= 100 Root ( 9× 16 × 6×4) m²

= 100 × 3×4×2 Root6 m²

= 2400 Root6 m²

= 5,878.77 m²