To fence a rectangular farm of 750 m^2, 110 m of fence has been used. calculate the dimensions of the farm

The dimension of the farm are 35 by 25 meters

Area of farm = 750 sq. m  

110 meters will be the perimeter  

let one side be x  

the other side will be 110-2x /2  

Area = L * W  

x((110-2x /2)=750  

x(110-2x /2 ) =750  

110x-2x^2/ 2 =750  

110x-2x^2= 1500  

2x^2-110x+1500=0  

x^2-55x+750=0  

x^2-30x-25x+750=0  

x(x-30)-25(x-30)=0  

(x-30)(X-25)=0  

x= 30 OR 25

I really hope this helps you and sorry for the late response :)

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x