Question

Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?

Answer 1

Answer:

The answer to your question a)   Perimeter = 12x² - 6                                                                             b)  Perimeter = 21 in

Step-by-step explanation:

Data

side 1 = 4x² - 3

side 2 = 4x² - 2

side 3 = 4x² - 1

Process

1.- Calculate the perimeter of a triangle

   Perimeter = side 1 + side 2 + side 3

-Substitution

   Perimeter = (4x² - 3) + (4x² - 2) + (4x² - 1)

-Simplification

   Perimeter = 4x² - 3 + 4x² - 2 + 4x² - 1

   Perimeter = 12x² - 6

2.- Find the perimeter when x = 1.5

   Perimeter = 12(1.5)² - 6

-Simplification

   Perimeter = 12(2.25) - 6

   Perimeter = 27 - 6

-Result

   Perimeter = 21 in

Answer 2

Answer:

Step-by-step explanation:

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

Where a, b and c are the lengths of each side of the triangle.

The side lengths of the triangular straw are 4x² - 3 inches, 4x² -2 inches, and 4x² - 1 inches. The expression for the perimeter is

4x² - 3 + 4x² -2 + 4x² - 1

= 4x² + 4x² + 4x² - 3 - 2 - 1

= 12x² - 6

When x = 1.5, then

Perimeter = 12(1.5)² - 6

Perimeter = 21 inches