Question

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 =

Explanation:

Step1: Recall perimeter formula

The perimeter of a polygon is the sum of the lengths of its sides.

Step2: Write unsimplified expression

For the given - sided figure with side - lengths 4, 9x, 15x, and 17, the perimeter using all four side - lengths is $4 + 9x+15x + 17$.

Step3: Combine like - terms

Combine the constant terms 4 and 17, and the x - terms 9x and 15x. $4+17=21$ and $9x + 15x=24x$. So the simplified expression is $24x + 21$.

Answer:

(a) perimeter = $4+9x + 15x+17$
(b) perimeter = $24x + 21$