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?

Answer 1

The expression to find the perimeter is
`12x^2-6`.

Explanation:

Given: The side lengths of the triangle are
`(4x^2-3)` inches,
`(4x^2-2)` inches, and
`(4x^2-1)` inches.

To find: The expression that can be used to find the perimeter of the triangle.

Solution:

We have,

The side lengths of the triangle are
`(4x^2-3)` inches,
`(4x^2-2)` inches, and
`(4x^2-1)` inches.

We know that,

The perimeter of a triangle is sum of all the sides.

So, Perimeter
`=(4x^2-3)+(4x^2-2)+(4x^2-1)`

`\implies \text{Perimeter}=12x^2-6`

Hence, the expression to find the perimeter is
`12x^2-6`.