sydney is cutting the crust from the edges of her sandwich. the dimensions, in centimeters, of the sandwich…

sydney is cutting the crust from the edges of her sandwich. the dimensions, in centimeters, of the sandwich is shown. which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust? 8x² + 34; 43.6 centimeters 8x² + 34; 45.52 centimeters 4x² + 17; 21.8 centimeters 4x² + 17; 22.76 centimeters

sydney is cutting the crust from the edges of her sandwich. the dimensions, in centimeters, of the sandwich is shown. which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust? 8x² + 34; 43.6 centimeters 8x² + 34; 45.52 centimeters 4x² + 17; 21.8 centimeters 4x² + 17; 22.76 centimeters

Answer

Answer:

A. $8x^{2}+34;43.6$ centimeters

Explanation:

Step1: Recall perimeter formula

For a rectangle, $P = 2(l + w)$. Here, $l=2x^{2}+9$ and $w = 2x^{2}+8$.

Step2: Substitute values into formula

$P=2((2x^{2}+9)+(2x^{2}+8))$.

Step3: Simplify the expression inside parentheses

$(2x^{2}+9)+(2x^{2}+8)=4x^{2}+17$.

Step4: Multiply by 2

$P = 2(4x^{2}+17)=8x^{2}+34$.

Step5: Substitute $x = 1.2$

When $x = 1.2$, $8x^{2}+34=8\times(1.2)^{2}+34$.

Step6: Calculate $(1.2)^{2}$

$(1.2)^{2}=1.44$.

Step7: Calculate $8\times(1.2)^{2}$

$8\times1.44 = 11.52$.

Step8: Calculate the final value

$11.52+34=43.52\approx43.6$.