Question

A rectangle has a length of x-8 and a width of x-9. Which equation below describes the perimeter, P, of the rectangle in terms of x?

a. P=x² - 17x+72
b. P=x-17
c. P = 2x-17
d. P = 4x - 34

*show your work*

Answer 1

d.

Explanation:

Given a length
`l` and a width
`w`, we can express the perimeter of a rectangle as
`2(l+w)`.

Therefore the perimeter
`P` can be expressed as

`2*[(x-8)+(x-9)]\\=2*(2x-17)\\=4x-34`