The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle?

The length of the rectangle is 6 meters

Step-by-step explanation:

Let the width of the rectangle is x meters

since the length of a rectangle is the sum of the width and 2, then the length is (x + 2) meters

Area of the rectangle is the product of the length and width of the rectangle, since the Area is 48 units from the question

Area = L * W

48 = (x + 2) * x

48 =  x ( x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

using factorization method, we have

x² + 8x - 6x - 48 = 0

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

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

The product of any factor is Zero, then at least one of them must be Zero. Algebraically, if a.b = 0, then a = 0 or b = 0

x - 6 = 0

x = 4   or

x + 8 = 0

x = -8

Since the lengths are positive, then only the positive value in the above solutions, so width is 4 meters and the length is 4 +2 = 6 meters.