Question

4. (10 points) Perimeter is determined by combining all of the side lengths of a shape. The side lengths of the rectangle below are given. a.) Write an expression that can be used to determine the perimeter. 4x - 5 2x-1 2x - 1 4x - 5 b.) Determine the perimeter of the rectangle (Simplify by combine like terms).

Answer 1

The perimeter of a rectangle can be written out as follows;

`\begin{gathered} P=(4x-5)+(2x-1)+(4x-5)+(2x-1) \\ P=2(4x-5)+2(2x-1) \\ P=2(\lbrack4x-5\rbrack+\lbrack2x-1\rbrack) \\ (b)The\text{ perimeter therefore is} \\ \text{Perimeter}=2(4x-5+2x-1) \\ \text{Perimeter}=2(6x-6) \\ \text{Perimeter}=12x-12 \end{gathered}`