Question

A playground is shaped like a pentagon with side lengths of x, (2x+3), 4x, (3x-2), and (2x+4). Write an expression to represent the perimeter of the playground. Then, use the Commutative and Associative Properties to simplify the expression by combining like terms. A) 12x + 5 B) 11x + 5 C) 11x + 6 D) 12x + 6

Answer 1

The expression to represent the perimeter of the pentagon-shaped playground is 12x + 5. By applying the Commutative and Associative Properties, we can rearrange and combine like terms to simplify the expression.

Step-by-step explanation:

To find the perimeter of the playground, we add up the lengths of all the sides. The expression to represent the perimeter is:

(x) + (2x + 3) + (4x) + (3x - 2) + (2x + 4)

Using the Commutative and Associative Properties, we can rearrange and combine like terms to simplify the expression. Simplifying the expression gives us:

12x + 5

Learn more about the Perimeter of a polygon