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

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