Answer:
x=12
Step-by-step explanation:
Area of the square
A = x^2
Area of the rectangle
A = (2x-8) (x-3)
Foil
A = 2x^2 -6x -8x +24
= 2x^2 -14x+24
The areas are equal
x^2 = 2x^2 -14x+24
Subtract x^2 from each side
x^2 - x^2 = 2x^2-x^2 -14x+24
0 = x^2 -14x -24
Factor
0 = (x-12) (x-2)
Using the xero product property
x-12= 0 x-2 =0
x=12 x=2
But looking at the rectangle
x-3 is a side length
2-3 is negative so x cannot equal 2
x=12
