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 48 ft of fence, and the fence must surround all four sides of your garden. What are the possible lengths of your garden?

Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor. That's waht tis assumes.

The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side. That leaves (48 - 22) = 26 feet for the two sides. 26/2 = 13 feet each side. This leads to a garden dimesion of 11 x 13 feet.

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 48 ft of​ fence, and the fence must surround all four sides of your garden. What are the possible lengths of your​ garden?

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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 48 ft of fence, and the fence must surround all four sides of your garden. What are the possible lengths of your garden?