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

Answer:

d.

Step-by-step 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

$2\times[(x-8)+(x-9)]\\=2\times(2x-17)\\=4x-34$