SOLUTION: The are of a rectangle is 400cm^2. If the length of one of its sides is "x"cm, express the length of the other side and hence the perimeter in terms of X. Find the value of X which
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Question 924768: The are of a rectangle is 400cm^2. If the length of one of its sides is "x"cm, express the length of the other side and hence the perimeter in terms of X. Find the value of X which makes the perimeter a minimum.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
...perimeter a minimum?
;
If "one of the sides" is x, then the other side is y. LOWER-CASE x; switching case level is incorrect unless you have a specific reason for using both case levels.
;
You want to know for what value of x will p be the minimum.
This seems not to help. Going back to the red-outlined formula for p, the use of derivative should be useful, since I cannot right now think of a less advanced way.
Max or Min?
Is this x for a maximum or a minimum?
Letting the technology show us,
Indicates that perimeter has a minumum. The value there for the min perimeter should be , .
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