Questions: Write the polynomial that represents the perimeter of the figure pictured below. Perimeter =

Solution Steps

The figure has six sides with the following lengths:

• $8x^2$
• $19x$
• $16x^2$
• $9x$
• $8x^2$
• $9x$

The perimeter of the figure is the sum of all its sides. Therefore, the expression for the perimeter is: $$8x^2 + 19x + 16x^2 + 9x + 8x^2 + 9x$$

Combine the $x^2$ terms and the $x$ terms: $$(8x^2 + 16x^2 + 8x^2) + (19x + 9x + 9x)$$ $$32x^2 + 37x$$

Final Answer