Question 1026326
Hi there,
If you make the length and 
width of the square = x
Length of rectangle = x + 18
Width of rectangle = x - 9
Area of square = Area of rectangle
x * x = (x + 18)(x - 9) (* times)
x^2 = x^2 + 9x - 162
x^2 - x^2 = 9x - 162
0 = 9x - 162
9x = 162
x = 18
Area of square = 18^2 = 324 cm^2
Area of rectangle = (18 + 18)(18 - 9)
= (36) * (9)
= 324 cm^2
Hope this helps :-)