document.write( "Question 628163: The perimeter of a rectangle is 28 cm. if the length of a diagonal is 10 cm, find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #395545 by lwsshak3(11628)\"\" \"About 
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The perimeter of a rectangle is 28 cm. if the length of a diagonal is 10 cm, find the length and width of the rectangle.
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\n" ); document.write( "let x=length of rectangle
\n" ); document.write( "let y=width of rectangle
\n" ); document.write( "2x+2y=perimeter=28
\n" ); document.write( "x+y=14
\n" ); document.write( "y=14-x
\n" ); document.write( "by pythagorean theorem:
\n" ); document.write( "x^2+y^2=10^2=100
\n" ); document.write( "x^2+(14-x)^2=100
\n" ); document.write( "x^2+196-28x+x^2=100
\n" ); document.write( "2x^2-28x+196=100
\n" ); document.write( "2x^2-28x+96=0
\n" ); document.write( "x^2-14x+48=0
\n" ); document.write( "(x-8)(x-6)=0
\n" ); document.write( "x=8
\n" ); document.write( "or
\n" ); document.write( "x=6\r
\n" ); document.write( "\n" ); document.write( "length of rectangle: 8 cm
\n" ); document.write( "width of rectangle: 6 cm\r
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