Question

6 given the figure below, which expression represents the perimeter of the polygon? 7x - 3 4x + 1 5x² 4x² + 9x + 5 a x² + 8x + 9 b 5x² + 16x + 1 c 6x² + 10x + 6 d 9x² + 20x + 3

Explanation:

Step1: Recall perimeter formula

The perimeter of a polygon is the sum of the lengths of its sides. So we need to add \(7x - 3\), \(4x+1\), \(5x^{2}\), and \(4x^{2}+9x + 5\).

Step2: Combine like - terms

\[

$$\begin{align*} &(5x^{2}+4x^{2})+(7x + 4x+9x)+(- 3 + 1+5)\\ =&9x^{2}+20x + 3 \end{align*}$$

\]

Answer:

D. \(9x^{2}+20x + 3\)