posted by Brittany on .
A kennel owner has 164 ft of fencing to enclose a rectangular region. He wants to subdivide it into 3 sections of equal length. If the total area of the enclosed region is 576 square ft what are the dimensions.
I know that the answer is 18 ft by 32 ft or 64 ft by 9ft but not how to get it
Since there are three sections of equal length, there must be 4 lengths (2 outside and 2 inside) and the width on both sides.
4L + 2W = 164
2W = 164 - 4L
W = 82 -2L
L * W = 576
Substitute 82 - 2L for W in the second equation and solve for L. Put that value in the first equation and solve for W. Check by putting both values in the second equation.
I hope this helps. Thanks for asking.