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Craig has 60 feet of fencing with which to make a rectangular garden area. One side of the rectangular garden will be the side of the Craig's house. Find the length and width for a maximum garden area.

What are the dimensions? And area?

Respuesta :

Medunno13

Answer: 15 by 30 feet, area is 450 square feet

Step-by-step explanation:

Let the length be l and the width be w.

The perimeter is l+2w (since one side is against the house)

We also know the area is lw.

Since [tex]l+2w=60 \implies l=60-2w[/tex], the area is the same as [tex]w(60-2w)[/tex].

The zeros of this area function are 0 and 30, so the value for which it is maximized is halfway between these values - 15.

If w=15, then l=30.

Therefore, the area is 450 square feet.

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