the length and width of a rectangle are consecutive even integers. the area of the rectangle is 48 square units. what are the length and width of the rectangle?

The width is 6 and length is 8 units.

Step-by-step explanation:

Let x and x+2 be the integers.

Then: x (x + 2) = 48

x^2 + 2x - 48 = 0

(x - 6) (x + 8) = 0

x = 6, - 8

Since the length and the width must be positive x = 6.

So the other side must be 8, for the area to be 48.

Let ...

length=x+2

width=x

Equation: x (x+2) = 48

x²+2x=48

x²+2x-48=0

(x+8) (x-6) = 0

x=-8,6

But a length cannot be negative so ... x=6.

answer: The dimensions are 6 and 8.