3 years ago

a smaller square field has an area of 3,600 square meters. what is the length of one side of the field?

Mathematics

1 answer:

posledela3 years ago

8 0

Answer:

60 meter

Step-by-step explanation:

Area=length times length

3600=lxl

square root of 3600 is equal to 60

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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

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If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
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\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
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\\\\\\
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-----------------------------\\\\
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\\\\\\
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\begin{cases}
0=w^2\\\\
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\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other