pablo folds a straw into a triangle with side lengths of $4x^{2}-3$ inches, $4x^{2}-2$ inches, and $4x^{2}-1$ inches. which expression can be used to find the perimeter of the triangle, and what is the perimeter when $x = 1.5$?
$12x^{2}-6$; 21 inches
$12x^{2}$; 27 inches
$12x^{2}-6$; 30 inches
$12x^{2}$; 36 inches

Question

Accepted Answer

# Explanation:
## Step1: Find the perimeter expression
The perimeter $P$ of a triangle is the sum of its side lengths.
$$
\begin{align*}
P&=(4x^{2}-3)+(4x^{2}-2)+(4x^{2}-1)\
&=4x^{2}+4x^{2}+4x^{2}-3 - 2-1\
&=12x^{2}-6
\end{align*}
$$
## Step2: Calculate the perimeter when $x = 1.5$
Substitute $x = 1.5$ into $P=12x^{2}-6$.
First, calculate $x^{2}=(1.5)^{2}=2.25$.
Then, $12x^{2}-6=12\times2.25-6$.
$$
\begin{align*}
12\times2.25-6&=(12\times\frac{9}{4})-6\
&=27 - 6\
&=21
\end{align*}
$$

# Answer:
12$x^{2}$ - 6; 21 inches

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QUESTION IMAGE

Question

Explanation:

Step1: Find the perimeter expression

Step2: Calculate the perimeter when \(x = 1.5\)

Answer: