a rectangle parking lot has a length that is 10 yards greater than the width. the area of the parking lot is 200 square yards find the length and the width

Question

the length is 10 tyards greater than width 

the parking lot is 200 square yards

 

Answer 1

Area = length * width

 

width = x

length - x+10

 

Area =x(x+10)

200 =x² +10x

 

x² +10x -200 =0

(x+20)(x-10)=0

x=-20 and x=10

width= x= 10 yards

length= x+10 =10+10 = 20yards