Question 254586
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If the Area of a Square is 50 sq units, we can compute the sides.
{{{drawing(300,300,-1,4,-1,4,line(0,0,0,3),line(0,3,3,3),line(3,3,3,0),line(3,0,0,0),blue(locate(1,1.5,50(sq)units),blue(locate(-.2,1.5,s)),locate(1.5,3.3,s)),blue(locate(3.2,1.5,s)),blue(locate(1.5,-.1,s))))}}}


By definition, {{{A[SQ]=s^2}}}
{{{50(sq)units=s^2}}}
{{{s=sqrt(50)units}}} ----> Sides


{{{drawing(300,300,-1,4,-1,4,line(0,0,0,3),line(0,3,3,3),line(3,3,3,0),line(3,0,0,0),blue(locate(-.2,1.5,s)),blue(locate(1.1,3.3,s=sqrt(50))),blue(locate(3.2,1.5,s)),blue(locate(1.5,-.1,s)), green(line(0,3,3,0)), green(locate(1.5,1.7,d)),green(line(0,.2,.2,.2)),green(line(.2,.2,.2,0)))}}} ----> Pythagorean Theorem: {{{d^2=s^2+s^2}}}
{{{d^2=(sqrt(50))^2+(sqrt(50))^2=50+50}}}
{{{d=sqrt(100)}}}
{{{highlight(d=10units)}}}, Answer


Thank you,
Jojo</font>