SOLUTION: I need help writing a function from a word problem. The question states: A piece of wire 30 in. long is bent to form a rectangle. If one of its dimensions is x in., express the are

Question 964638: I need help writing a function from a word problem. The question states: A piece of wire 30 in. long is bent to form a rectangle. If one of its dimensions is x in., express the area as function of x.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of a rectangle is,

where L is length and W is the width.
One of the dimensions is x.
Let x be the length (doesn't matter which you choose, the equation will work out the same).
The length of the wire is also equal to the perimeter of the rectangle,

So,

So then substituting back into the area equation,

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