Question

Eric is building a fence around the perimeter of a garden in his backyard. The yard is shaped like a rectangle with a width of 15 yards less than the length. He calculates that he needs 70 feet of fencing. Which equation accurately models this problem, with L as the length?

Answer 1

We have the following rectangle from the garden:

Since Eric already calculated that he needs 70 feet of fencing, we have the following:

`\begin{gathered} P=15 \\ P=L+(L-15)=2L-15 \\ \Rightarrow2L-15=70 \end{gathered}`

therefore, the equation that models the problem is 2L-15=70