SOLUTION: Aleah's garden borders a wall. She buys 80 meters of fencing. What dimensions maximize the area of the garden.

SOLUTION: Aleah's garden borders a wall. She buys 80 meters of fencing. What dimensions maximize the area of the garden.

Algebra.Com

Question 1021424: Aleah's garden borders a wall. She buys 80 meters of fencing. What dimensions maximize the area of the garden.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There are three borders using the fencing.

The area is then,

Substituting from the perimeter,

It's a quadratic, convert to vertex form.

So the maximum occurs when and the value is

Then,

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