write two expressions for the perimeter of the figure. note: the figure is not drawn to scale. (a) use all…

write two expressions for the perimeter of the figure. note: the figure is not drawn to scale. (a) use all four side lengths. perimeter = + + + (b) simplify the expression from part (a). perimeter =

write two expressions for the perimeter of the figure. note: the figure is not drawn to scale. (a) use all four side lengths. perimeter = + + + (b) simplify the expression from part (a). perimeter =

Answer

Explanation:

Step1: Write perimeter using side - lengths

The perimeter of a polygon is the sum of its side - lengths. So, when using all four side - lengths, perimeter = $8+9 + 9x+18x$.

Step2: Combine like - terms

We combine the $x$ terms and the constant terms. The $x$ terms are $9x$ and $18x$, and the constant terms are $8$ and $9$. $9x + 18x=27x$ and $8 + 9 = 17$. So, perimeter = $27x+17$.

Answer:

(a) perimeter = $8+9 + 9x+18x$ (b) perimeter = $27x + 17$