Solve algebraically: the soccer field has an area of 6000 square yards. The field is 40 yards longer than its width. What are the dimensions of the field in years

The dimensions are 60 yards by 100 yards

Proof:

Let the wdth be x and the length be x+40

x (x+40) = 6000

x²+40x=6000

x²+40x-6000=0

use the quadratic formula

x = - 40 + or - √40²-4*1*-6000

x = 60, - 100

but distance but be positive so the dimensions are 60 yards by 100 yards