Question

sydney is cutting the crust from the edges of her sandwich. the dimensions, in centimeters, of the sandwich is shown.
image of a rectangle labeled sandwich with length (2x^2 + 8) and width (2x^2 + 9)
which expression represents the total perimeter of her sandwich, and if (x = 1.2), what is the approximate length of the crust?

• (8x^2 + 34); 43.6 centimeters
• (8x^2 + 34); 45.52 centimeters
• (4x^2 + 17); 21.8 centimeters
• (4x^2 + 17); 22.76 centimeters

Explanation:

Step1: Recall Perimeter Formula

The sandwich is a rectangle, so perimeter \( P = 2\times(\text{length} + \text{width}) \). Length is \( 2x^2 + 9 \), width is \( 2x^2 + 8 \).

Step2: Calculate Perimeter Expression

$$
LATEXBLOCK0
$$

Step3: Substitute \( x = 1.2 \)

Calculate \( 8x^2 + 34 \) when \( x = 1.2 \):

$$
LATEXBLOCK1
$$

Answer:

B. \( 8x^2 + 34 \); 45.52 centimeters