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. The perimeter of the triangle is 12x^@-6 inches. IF x=1.5, what was the length of the straw before it was folded?

Answer 1

21 inches

Explanation:

We know that a straw is folded into a triangle with side lengths
`4x^2-3` inches,
`4x^2-2` inches and
`4x^2-1` inches and the perimeter of the triangle is
`12x^2-6` inches.

Given x=1.5, we can either substitute this value of x in the side lengths and add them or simply put it in perimeter to find the length of straw.

Length of straw =
`12x^2-6` = 12(1.5)^2-6=[/tex] 21 inches

Answer 2

21 inches

Explanation:

Given that Pablo folds a straw into a triangle

HEnce length of the straw before folding=perimeter of the triangle

SInce sides are

`4x^2-1,4x^2-2 and 4x^2-1\\`

Perimeter = sum of all sides

=
`12x^2-6`

Substitute for x =1.5

Length of straw =
`12(`1.5)^2-6`

=
`12(2.25)-6`

=
`21`

Answer is 21 inches