Question

the length of a rectangular plot is 10 meters more than its width . if the cost of fencing the plot at $ 15.50 per meter is $ 868 , what is the length of the plot in meters ?

Answer 1

Area = 868/15.5= 56

Let the length be x
and width will be x - 10

Area = l × b = x × ( x - 10) = 56

x^2 - 10x - 56 = 0

x^2 - 14x + 4x - 56 = 0

x ( x - 14 ) + 4( x - 14 ) = 0

( x + 4 ) ( x - 14 ) = 0

x = -4 or 14

Length cannot be negative, so length of the plot is 14m