The area of a ground is 2.5 hectare,while there is ratio 3:2 between its side,find perimeter of ground.explain in detail .?

1 hectare = 100*100 = 10,000 m^2

2.5 hectares = 25,000 m^2

s = length of the smaller side

3s/2 = length of the longer side

Area = 3s^2/2 = 25000

s*2 = 50000/3

s 129.1 m

sides are 129.1 m and 193.65 m

Perimeter = 2(129.1+193.65) =

645.5 m

Longer side = 25,000 m

The area of a ground is 2.5 hectares, while there is ratio 3 : 2 between its sides,

find the perimeter of the ground.

A = 6x^2 = 2.5 hectare = 25000 m^2

x^2 = 4166

x = 50 sqrt(5/3) m ≈ 64.550 m

P = 2(3x + 2x)

P = 645.5 meters

3x * 2x = 2.5 * 10000 square meters

6x^2 = 25 * 10000 / 10 square meters

6x^2 = 25 * 10000 * 10 / 100 square meters

6x^2 = 25 * 100 * 10 square meters

sqrt(6) * x = 5 * 10 * sqrt(10) meters

x = 50 * sqrt(10/6) meters

x = 50 * sqrt(60) / 6 meters

x = 50 * 2 * sqrt(15) / 6 meters

x = 50 * sqrt(15) / 3 meters

P = 2 * 3x + 2 * 2x = 2 * (3x + 2x) = 2 * 5x = 10x

10 * 50 * sqrt(15) / 3 =>

500 * sqrt(15) / 3 =>

645.49722436790281419654423329707...

645.5 meter perimeter