document.write( "Question 914554: My diagram shoes two squares.The sum of their area is 58m2.The sum of the lengths of their side is10m..Find values for x and y(y >x)..no idea how to go about this..Thanks \n" ); document.write( "
Algebra.Com's Answer #555215 by MathTherapy(10552)\"\" \"About 
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My diagram shoes two squares.The sum of their area is 58m2.The sum of the lengths of their side is10m..Find values for x and y(y >x)..no idea how to go about this..Thanks
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\n" ); document.write( "One side of 1st square: x
\n" ); document.write( "Area of 1st square: \"x%5E2\"
\n" ); document.write( "One side of 2nd square: y
\n" ); document.write( "Area of 2nd square: \"y%5E2\"
\n" ); document.write( "Sum of their areas is \"58m%5E2\", so: \"x%5E2+%2B+y%5E2+=+58\" ------ eq (i)
\n" ); document.write( "Sum of the lengths of a side of each square is 10, so: x + y = 10____y = 10 - x ------ eq (ii)
\n" ); document.write( "\"x%5E2+%2B+%2810+-+x%29%5E2+=+58\" ------- Substituting 10 - x for y in eq (i)
\n" ); document.write( "\"x%5E2+%2B+100+-+20x+%2B+x%5E2+=+58\"
\n" ); document.write( "\"x%5E2+%2B+x%5E2+-+20x+%2B+100+-+58+=+0\"
\n" ); document.write( "\"2x%5E2+-+20x+%2B+42+=+0\"
\n" ); document.write( "\"2%28x%5E2+-+10x+%2B+21%29+=+2%280%29\"
\n" ); document.write( "\"x%5E2+-+10x+%2B+21+=+0\"
\n" ); document.write( "(x - 7)(x - 3) = 0
\n" ); document.write( "\"highlight_green%28x+=+7%29\" OR \"highlight_green%28x+=+3%29\"
\n" ); document.write( "If x = 7, then y = 3
\n" ); document.write( "If x = 3, then y = 7
\n" ); document.write( "However, since y > x, then the latter is the correct choice. \n" ); document.write( "
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