Answer:
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
