SOLUTION: What are the dimensions of the rectangular plot with largest diagonal that can be fenced off with 84 feet of fencing material? To achieve a maximum diagonal of ___________feet,

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Question 1078611: What are the dimensions of the rectangular plot with largest diagonal that can be fenced off with 84 feet of fencing material?
To achieve a maximum diagonal of ___________feet, the rectangle should be ________
feet wide and _________________feet long.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y dimensions
2x%2B2y=84
x%2By=42

d diagonal,
d=sqrt%28x%5E2%2By%5E2%29

.... LARGEST Diagonal?

d=sqrt%28x%5E2%2B%2842-x%29%5E2%29

highlight_green%28d=sqrt%282x%5E2-84x%2B1764%29%29
A graph of this will show that the limitations placed on a diagonal is that a diagonal must be 0%3Cd%3C42, so no realistic maximum diagonal length can be achieved.

You CAN look for the dimensions for the minimum diagonal length.
graph%28400%2C400%2C-4%2C35%2C-4%2C45%2Csqrt%282x%5E2-84x%2B1764%29%29


If you want the MINIMUM diagonal, then differentiate the formula for d and set to 0, and solve for x. ...