The length of a rectangle is 5 in more than the width. If the area of the rectangle is 14 in2. How many inches long is the width of the rectangle?

Step-by-step explanation:

So, we must find the width of this rectangle such that the Area is

L*W = A

(x+5)(x) = 14Then Distribute the x inside using the distribute property

x2+5x = 14Then subtract 14 such that

x2+5x - 14 = 0Then factor such that

(x+7)(x-2) = 0

x = -7, x = 2 inches

Since we cannot have a negative width we use width = 2 inches.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0