The length of a rectangle is 3 units more than the width. The area of the rectangle is

40 units. What is the length, in units, of the rectangle?

8 units for the length

Step-by-step explanation:

Let l = length

w = width

l = w+3

A = l*w

substitute what we know

40 = (w+3) * w

distribute

40 = w^2 + 3w

Subtract 40 from each side

0 = w^2 + 3w - 40

Factor

0 = (w+8) (w-5)

Using the zero product property

w+8 = 0 w-5=0

w = - 8 w=5

Since the width cannot be negative

w=5

l = w+3 = 5+3

l = 8 units

The asnwer is 8 units for the length