Question

A school is building a rectangular soccer field that has an area of 6000 yards. The soccer field must be 40 yards longer than it's worth. Determine algebraically the dimensions of the soccer field, in yards. Show/ explain work

Answer 1

6000=x²+40x

length = x+40
width= x
area = length x width
area= x²+40x

factors of 6000 are 60 and 100
x=60 
60²+40x60= 3600+2400= 6000