Answer:
x = - 1/2
Step-by-step explanation:
Area of the square = s^2 = (2x + 2)^2 = 4x^2 + 8x + 4
Perimeter of the triangle = 3*s = 3(4/3)x = 4x
Difference = area of square - perimeter of triangle
Difference = 4x^2 + 8x + 4 - 4x = 3
Difference = 4x^2 + 4x + 4 = 3 Subract 3 from both sides.
4x^2+ 4x + 4 - 3 = 0
4x^2 + 4x + 1 = 0 This factors.
(2x + 1)(2x + 1) = 0
Since they both are the same the value of one of them is the same as the value for both of them.
2x + 1 = 0
2x = - 1
2x/2 = - 1/2
x = - 1/2
So one value (the only value) of x = - 1/2
