the width of a rectangle is (x - 6). The rectangle's length is 8 units longer than its width. If the perimeter is 40 units, what is the length?

l = 14

Step-by-step explanation:

The perimeter of a rectangle is

P = 2 (l+w)

The width is x-6

w = x-6

The length is 8 units longer than the width

l = w+8

l = x-6+8

l = x+2

We can substitute this into the equation for Perimeter, which is given as 40

40 = 2 (x+2 + x-6)

Combine like terms

40 = 2 (2x-4)

Divide by 2

40/2 = 2/2 (2x-4)

20 = 2x-4

Add 4 to each side

20+4 = 2x-4+4

24 = 2x

Divide by 2

24/2 = 2x/2

12=x

We want to know the length

l = x+2

l = 12+2

l = 14