The length of a rectangular garden is 2 feet more than twice it's width. If the area is 40 square feet, how much fencing would be needed to enclose the garden?

w = 4 ft and l = 10 ft

Step-by-step explanation:

Let w = width

l = 2w+2

A = l*w

A = (2w+2) (w)

40 = (2w+2) w

Distribute

40 = 2w^2 + 2w

Subtract 40

0 = 2w^2 + 2w - 40

Dividing each side by 2

0 = w^2 + w - 20

Factor

0 = (w+5) (w-4)

Using the zero product property

w+5 = 0 w-4=0

w = - 5 w=4

Since we cant have a negative length

w=4

l = 2w+2 = 2 (4) + 2 = 8+2 = 10