# Math Help - Pre-Calculus Word Problem

1. ## 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.?

PLEASE HELP. Thanks

2. 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.?

PLEASE HELP. Thanks
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

3. ## Thanks

Thank you. I knew i was making it hard then it really was.