Question

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

Answer 1

21 inches

Explanation:

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Answer 2

The length of straw is 21 inches.

Explanation:

Given :

Lengths of straw =
`4x^2-3` ,
`4x^2-2`,
`4x^2-1` inches.

Perimeter of the triangle is
`12x^2-6` 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=
`12x^2-6` at x = 1.5 inches

`\Rightarrow 12(1.5)^2-6=12*2.25-6=27-6=21`

Thus, the length of straw is 21 inches.