The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

Length = 12

Width = 10

Step-by-step explanation:

The difference between two consecutive integers is 2.

Thus the difference between the length and the width of the rectangle also differ by 2.

width - x

length - x+2

AREA=L*W

120=x (x+2)

x²+2x-120=0

Factorizing:

x² - 10x + 12x - 120=0

x (x-10) + 12 (x-10) = 0

(x-10) (x+12) = 0

either x-10=0 or x+12=0

x=10 0r - 12

We consider positive roots only. thus x=10

width = 10

length = 10+2 = 12