The rectangle and the square have the same area. Write down an equation in terms of x and solve it.

x² = (x-2) (x+3)

and

x = 6

Step-by-step explanation:

x² = (x-2) (x +3)

x² = x² + 3x - 2x - 6

x² = x² + x - 6

moving x² and -6 from LHS to RHS

x² - x² + 6= x

6 = x

x = 6