## Elementary Algebra

The formula for the perimeter of a rectangle is 2a + 2b, where a and b are the rectangle's length and width. By looking at the figure, we can see that: a = 3x + 5 b = x - 2 So, we substitute these values into the formula to obtain: Perimeter of the rectangle = 2 $\times$ (3x + 5) + 2 $\times$ (x - 2) Use the distributive property. Perimeter of the rectangle = 6x + 10 + 2x - 4 Group similar terms. Perimeter of the rectangle = (6x + 2x) + (10 - 4) Simplify. Perimeter of the rectangle = 8x + 6 We can represent the perimeter of the rectangle by 8x + 6.