A rectangle has an area of (x2 - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

length = (x - 8) units and width = (x - 9) units

length = (x + 9) units and width = (x + 8) units

length = (x - 6) units and width = (x - 12) units

length = (x + 12) units and width = (x + 6) units

Question

Alanna Chandler

Mathematics

7 May, 10:52

A rectangle has an area of (x2 - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

length = (x - 8) units and width = (x - 9) units

length = (x + 9) units and width = (x + 8) units

length = (x - 6) units and width = (x - 12) units

length = (x + 12) units and width = (x + 6) units

+5

Answers (2)

Know the Answer?

Kaya Shannon · Answer 1

Factoring the equation yields:

The first option (x-8) (x-9)

Vaughn Yu · Answer 2

The correct answer is A because it is the factored form of the equation. Foil to check

(x-8) (x-9)

x^2-8x-9x+72

x^2-17x+72

Also check:

-8-9=-17

-8*-9=72