You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river
find the length and width of the plot will maximize the area. A) length: 33 feet, width: 32 feet
B) length: 16 feet, width: 16 feet
C) length: 48 feet, width: 16 feet
D) length: 32 feet, width: 16 feet
You don't need any real math to guess at the right answer.
Choice A requires at least 33+32+32=97 feet of fence, hence you an rule it out because that is more fence than you have.
Choice B requires at least 16+16+16=48 feet, hence you can rule it out because it does not use all your fence and you can get more area by using it all.
Choice C requires at least 48+16+16=80 feet of fence, which is more than you have.
Choice D requires at least 32+16+16=64 feet of fence, so this is the right choice.
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