pablo folds a straw into a triangle with side lengths of $4x^{2}-3$ inches, $4x^{2}-2$ inches, and…

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 $x = 1.5$?\n$12x^{2}-6$; 21 inches\n$12x^{2}$; 27 inches\n$12x^{2}-6$; 30 inches\n$12x^{2}$; 36 inches

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 $x = 1.5$?\n$12x^{2}-6$; 21 inches\n$12x^{2}$; 27 inches\n$12x^{2}-6$; 30 inches\n$12x^{2}$; 36 inches

Answer

Explanation:

Step1: Find perimeter formula

The perimeter $P$ of a triangle is the sum of its side - lengths. So $P=(4x^{2}-3)+(4x^{2}-2)+(4x^{2}-1)$. Combine like - terms: $P=(4x^{2}+4x^{2}+4x^{2})+(-3 - 2-1)=12x^{2}-6$.

Step2: Substitute $x = 1.5$

Substitute $x = 1.5$ into the perimeter formula $P = 12x^{2}-6$. First, calculate $x^{2}=(1.5)^{2}=2.25$. Then $12x^{2}=12\times2.25 = 27$, and $P=12x^{2}-6=27 - 6=21$.

Answer:

A. $12x^{2}-6;21$ inches