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 = \\(\square\\) + \\(\square\\) + \\(\square\\) + \\(\square\\)
(b) simplify the expression from part (a).
perimeter = \\(\square\\)

Explanation:

Step1: List all side lengths

Perimeter is the sum of all sides, so we write the sum of the four given side lengths:
$16x + 11 + 9x + 8x$

Step2: Combine like terms

Group the terms with $x$ and add them together, then keep the constant term:
$(16x + 9x + 8x) + 11 = 33x + 11$

Answer:

(a) $16x + 11 + 9x + 8x$
(b) $33x + 11$