Question

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

Explanation:

Step1: Calculate perimeter expression

Add the three side lengths: $(4x^2 - 3) + (4x^2 - 2) + (4x^2 - 1) = 12x^2 - 6$

Step2: Substitute $x=1.5$ into expression

First compute $x^2 = (1.5)^2 = 2.25$. Then $12(2.25) - 6 = 27 - 6 = 21$

Answer:

$12x^2 - 6$; 21 inches