# 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.?

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.?

$A = x(50 - x) = 600 \implies \boxed {x^2 - 50x + 600 = 0}$ now solve for x