Question

This summer you are working at a local Veterinian Office. The vet asked you to help her design an outdoor rectangular dog kennel that will fit some of their larger patients. Because the vet's office is working on a budget, she does not know the total amount of fencing she will be able to purchase to secure the perimeter of the kennel. However, she does know that to fit some of the patients it must be 6 feet in width. Here is your task, find a formula that allows you and the vet to find the length of the kennel once she has purchased a set amount fencing for the perimeter and you know that the width is 6 feet on both sides. Use the formula for perimeter: \large P=2w+2l

Answer 1

Explanation:

in this problem we are going to assume that the vet purchased a total amount of 100ft fencing.

we know that the perimeter of a rectangle is given as

P=2w+2l

given data

width w= 6ft

Perimeter P= 100ft

length l=?

Substituting into the expression for the perimeter we have

100=2(6)+2l

100=12+2l

100-12=2l

88=2l

l=88/2l

l=44

Therefore if the perimeter is 100ft the length will be 44ft given that the width must be 6ft

Note: you can assume any value for the perimeter to arrive at a solution using the formula for perimeter