# Pre-Calculus Word Problem

• Oct 8th 2007, 12:30 PM
B1GG13
Pre-Calculus Word Problem
Hello to all,
I'm struggling to set up an equation for the following word problem:
A farmer has a roll of 100ft. fencing. He wants to enclose a rectangular patch of sides X and 50-X. For what values of X will the area of the patch be 600ftsq.?

• Oct 8th 2007, 12:34 PM
Jhevon
Quote:

Originally Posted by B1GG13
Hello to all,
I'm struggling to set up an equation for the following word problem:
A farmer has a roll of 100ft. fencing. He wants to enclose a rectangular patch of sides X and 50-X. For what values of X will the area of the patch be 600ftsq.?

area is length times width right?

so if the area of the fence must be 600 ft^2, then we must have:

$A = x(50 - x) = 600 \implies \boxed {x^2 - 50x + 600 = 0}$ now solve for x
• Oct 8th 2007, 01:16 PM
B1GG13
Thanks
Thank you. I knew i was making it hard then it really was.