Question

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
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Answer 1

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

ANSWER= A

Explanation:

JUST TOOK THE TEST

Answer 2

Explanation:

x² - 17x + 72 = 0

Sum = -17

Product = 72

Factor = 8 , 9

x² - 17x + 72 = 0

x² - 8x -9x + (-8)*(-9) = 0

x(x - 8) -9(x -8) = 0

(x - 8 ) (x - 9) = 0

Length = (x - 8) units

Width = (x - 9) units