The first night in a hotel costs 25 dollars. All additional nights cost 23 dollars. How many nights did we stay at this hotel if
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The perimeter of the rectangular plot of land is given by the expression below
On the other hand, since the available money to buy fence is D dollars,
Furthermore, the area of the enclosed land is given by
Solving the second equation for x,
Substituting into the equation for the area,
To find the maximum possible area, solve A'(y)=0, as shown below
Therefore, the corresponding value of x is