Question

What is the exact length of fence that the company will need?

Answer 1

We can see that the right triangle is:

since its a right triangle, we can apply Pytagoras theorem:

$50^2+50^2=c^2$

hence, we have

$\begin{gathered} c=\sqrt[]{50^2+50^2} \\ c=\sqrt[]{2\cdot50^2} \\ c=50\sqrt[]{2} \end{gathered}$

Now, the length of fence is the perimeter P of the triangle:

$P=50+50+c$

by substituying c into the last equation, we have

$\begin{gathered} P=50+50+\sqrt[]{2}50 \\ P=50(1+1+\sqrt[]{2}) \\ P=50(2+\sqrt[]{2}) \end{gathered}$

or

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