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

Algebra ->  Functions -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is,
A=L%2AW
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,
P=2%28L%2BW%29=30
So,
L%2BW=15
x%2BW=15
W=15-x
So then substituting back into the area equation,
A=x%2815-x%29