a perimeter of the rectangula land is 500m if the length and the breath of that rectangular land is 2:3 ratio,find the area of rectangel

Answer 1

P = 2 ( L + B ) = 500

2 ( L + B ) = 500

Divide both sides by 2

L + B = 250

L / B = 2 / 3

Cross multiply:

3 L = 2 B

L = ( 2 / 3 ) B = 2 B / 3

L + B = 250

Replace L with 2 B / 3 in this equation

2 B / 3 + B = 250

2 B / 3 + 3 B / 3 = 250

5 B / 3 = 250

Multiply both sides by 3

5 B = 750

Divide both sides by 5

B = 150 m

L = 2 B / 3 = 2 ∙ 150 / 3 = 300 / 3 = 100 m

A = L ∙ B = 100 ∙ 150 = 15 000‬ m²

Answer 2

L = 2x, W = 3x, P = 500 m., A = ?.
P = 2*2x+2*3x = 500
4x+6x = 500
X = 50.

L = 2x = 2*50 = 100 m.
W = 3x = 3*50 = 150 m.
A = L*W = 100*150 = 15,000 m^2.