document.write( "Question 135546: The diagonal of a rectangle is 25 inches more than its width. The length of the rectangle is 23 inches more than its width. What is the width of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #99440 by ankor@dixie-net.com(22740)\"\" \"About 
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The diagonal of a rectangle is 25 inches more than its width. The length of the rectangle is 23 inches more than its width. What is the width of the rectangle?
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\n" ); document.write( "Use pythag: a^2 + b^2 = c^2
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\n" ); document.write( "Let b = width
\n" ); document.write( "then
\n" ); document.write( "a = (b+23)
\n" ); document.write( "and
\n" ); document.write( "c = (b+25)
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\n" ); document.write( "(b+23)^2 + b^2 = (b+25)^2
\n" ); document.write( "FOIL
\n" ); document.write( "b^2 + 46b + 529 + b^2 = b^2 + 50b + 625
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "b^2 + b^2 - b^2 + 46b - 50b + 529 - 625 = 0
\n" ); document.write( ":
\n" ); document.write( "b^2 - 4b - 96 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(b-12)(b+8) = 0
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\n" ); document.write( "b = +12 inches is the width
\n" ); document.write( "then
\n" ); document.write( "12 + 23 = 35 inches is the length
\n" ); document.write( "and
\n" ); document.write( "12 + 25 = 37 inches is the diagonal:
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\n" ); document.write( "Check solution:
\n" ); document.write( "\"sqrt%2812%5E2+%2B+35%5E2%29\" =
\n" ); document.write( "\"sqrt%28144+%2B+1225%29\" =
\n" ); document.write( "\"sqrt%281369%29\" = 37 \n" ); document.write( "
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