A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

A rectangle labeled, Fenced in Region, is adjacent to a rectangle representing a wall.
A rectangle labeled, Fenced in Region, is adjacent to a rectangle representing a wall.
Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 164 feet of fencing, what is the largest area the farmer can enclose?

Respuesta :

9514 1404 393

Answer:

  3362 ft²

Step-by-step explanation:

As we saw in https://brainly.com/question/22284853, the long side of the area will be half the length of the fence: 82 feet. The remaining two sides will be 41 feet each, so the largest area that can be enclosed is ...

  A = LW

  A = (82 ft)(41 ft) = 3362 ft²

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