SOLUTION: John has 1424 meters of fencing and wants to enclose a rectangular plot that borders on a lake. If he does not fence along the lake, what is the largest area that can be enclosed?
Question 1098344: John has 1424 meters of fencing and wants to enclose a rectangular plot that borders on a lake. If he does not fence along the lake, what is the largest area that can be enclosed?
My work:
I set up two equations, 1.) and 2.)
1.)
2.)
Using , I solved for L
Using I plug in the L from the above equation
Then I found the vertex using
Using 356 I plug it into the equation
This gives me the largest area = 253,472 meters squared as my final answer.
I'm just wondering if this is ok or totally off
