Question

Write the perimeter of each figure as a trinomial.
Must show your work.

Answer 1

P = 2n + 8m - 1

Explanation:

A trinomial is an expression or equation that has three terms. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.

If two terms have the same variable, called like terms, they can be combined by addition or subtraction.

The perimeter is the total length of all the sides.

The formula for the perimeter of a triangle is
`P = s_(1) + s_(2)  + s_(3)` for each of the three sides.

Substitute each of the three sides.

`P = s_(1) + s_(2)  + s_(3)`

`P = n + (2m + n)  + (6m - 1)`

`P = n + 2m + n  + 6m - 1` brackets can be removed

`P = n + n + 2m + 6m - 1` rearrange equation according to like terms

`P = 2n + 8m - 1` collected the like terms by addition