Question

In a community garden (shown to the right) you want to plant and fence in a vegetable garden that is adjacent to your friend's garden. You have at most 32 ft of fence, and the fence mustsurround all four sides of your garden. What are the possible lengths of your garden?Your newgardenYour friend's gardenThe possible lengths of the garden are greater than foet.(Simplify your answer.)

Answer 1

We know that

• The perimeter is 32 feet.

According to the graph, the width is 7 feet. To find the with, we use the Perimeter formula

$P=2(w+l)$

We replace each given value.

$2(7+l)\leq32$

Then, we solve for l.-

$\begin{gathered} 7+l\leq\frac{32}{2} \\ 7+l\leq16 \\ l\leq16-7 \\ l\leq9 \end{gathered}$

Therefore, the possible lengths are 1, 2, 3, 4, 5, 6, 7, 8, and 9 feet.