document.write( "Question 45533: Rectangular Stage. One side of a rectangular stage is 2 meters longer than the other (x + 2m). If the diagonal is 10 meters, then what are the lengths of the sides? Please show work and answer. Thank you. \n" ); document.write( "
Algebra.Com's Answer #30264 by Nate(3500)\"\" \"About 
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Splitting it diagonally makes a right triangle:
\n" ); document.write( "leg: x
\n" ); document.write( "leg: x + 2
\n" ); document.write( "hypotenuse: 10
\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+c%5E2\"
\n" ); document.write( "\"x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+100\"
\n" ); document.write( "\"2x%5E2+%2B+4x+-+96+=+0\"
\n" ); document.write( "\"x%5E2+%2B+2x+-+48+=+0\"
\n" ); document.write( "\"%28x+%2B+8%29%28x+-+6%29+=+0\"
\n" ); document.write( "x = -8 or x = 6
\n" ); document.write( "Measurements have to be positive.
\n" ); document.write( "leg: x = 6
\n" ); document.write( "leg: x + 2 = 8
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