What is the distance around a triangle that has sides measuring 2 1 / 8 feet, 3 1 / 2 feet, and 2 1 / 2 feet?

Hi! The distance around

a triangle, better noun as de "perimeter of a triangle"

is the total

distance around the outside, which can be found by adding together the length

of each side.

Perimeter (P) =

Length A + Length B + Lenght C

In

this case, we know that each side measure 2 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%0A" /> feet, 3 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%0A" /> feet, and 2 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%0A" /> feet but we have to rewrite each one of this mixed

fractions as improper fractions :

2 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%0A" /> = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%2B%201%7D%7B8%7D%20" /> = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B8%7D%20" />

3 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%0A" /> = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%20%2B%201%7D%7B2%7D%20" /> = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B2%7D%20" />

2 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%0A" /> = [img = 10] = [img = 11]

Then we just add all of them to find the perimeter :

[img = 12] =

[img = 13] = [img = 14]

A : The distance around a triangle is [img = 15] feet.