Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

inches

Respuesta :

Answer:

The length of straw is 21 inches.

Step-by-step explanation:

Given :

Lengths of straw = [tex]4x^2-3[/tex] , [tex]4x^2-2[/tex], [tex]4x^2-1[/tex] inches.

Perimeter of the triangle is [tex]12x^2-6[/tex]  inches.

Perimeter of triangle is sum of three sides .

Thus, when we open the triangle we obtain the length of straw thus perimeter is the length of the straw.

Given x = 1.5 inches

Put in perimeter, we get,

Length of straw = Perimeter of triangle= [tex]12x^2-6[/tex] at x = 1.5 inches

[tex]\Rightarrow 12(1.5)^2-6=12\times2.25-6=27-6=21[/tex]

Thus, the length of straw is 21 inches.




Answer:

21 inches

Step-by-step explanation:

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