<PRE><B>Question 360297</B>
We can use the Pythagorean Theorem to solve this, whereby &lt;br&gt;

{{{a^2+b^2=c^2}}}&lt;br&gt;

Since we know that the square has 4 equal sides, we can then set up this equation, using x as our unknown quantity for a side of the square:&lt;br&gt;

{{{x^2+x^2=70^2}}}&lt;br&gt;

{{{2x^2=4900}}}&lt;br&gt;

{{{x^2=2450}}}&lt;br&gt;

{{{x=sqrt(2450)}}}&lt;br&gt;

{{{x=49.49747468305833}}} or {{{x=-49.49747468305833}}}&lt;br&gt;

Since we are talking about distances and measures, we can safely eliminate the negative solution.&lt;br&gt;

&lt;b&gt;Thus, the length of a side of the parking lot to the nearest meter is 49 meters.&lt;/b&gt;&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>