Question

a rectangular frame has a length of (x+2) and a width of (x-4). if the area is 7 what is the value of x

Answer 1

Answer:

x=5/-3

Step-by-step explanation:

(x+2)(x-4) = 7

FOIL

$x^{2}$  - 2x - 8= 7

Subtract 7 from both sides

$x^{2}$ - 2x - 15 = 0

Factor

(x-5)(x+3)

x=5

-3 is extraneous side lengths cannot be negative