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Tatiana [17]
3 years ago
8

HELP ME WITH THIS PLZ Just write what ones they are plz :)

Mathematics
2 answers:
jekas [21]3 years ago
8 0
The first one is d and the second one is a. I hope this helps.
slega [8]3 years ago
6 0
The answers are:
a) 64x - 24
b) 19y
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The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

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Furthermore, the area of the enclosed land is given by

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To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

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