document.write( "Question 452164: this rectangle has length 5 units more than the side of the square and width half the sid the side of the square. if the two areas are equal, what are the rectangles dimensions \n" ); document.write( "
Algebra.Com's Answer #310866 by ankor@dixie-net.com(22740)\"\" \"About 
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his rectangle has length 5 units more than the side of the square and width half the sidethe side of the square.
\n" ); document.write( " if the two areas are equal, what are the rectangles dimensions
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\n" ); document.write( "Let x = side of the square
\n" ); document.write( "then
\n" ); document.write( "x^2 = area of the square
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\n" ); document.write( "(x+5) = the length of the rectangle
\n" ); document.write( ".5x = the width of the rectangle
\n" ); document.write( "then
\n" ); document.write( ".5x(x+5) = .5x^2 + 2.5x = the area of the rectangle
\n" ); document.write( ":
\n" ); document.write( "The areas are equal, therefore:
\n" ); document.write( "x^2 = .5x^2 + 2.5x
\n" ); document.write( "x^2 - .5x^2 = 2.5x
\n" ); document.write( ".5x^2 = 2.5x
\n" ); document.write( "divide both sides by x
\n" ); document.write( ".5x = 2.5
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( "x = 5 is the side of the square
\n" ); document.write( "then
\n" ); document.write( "5 + 5 = 10; the length of the rectangle
\n" ); document.write( "and
\n" ); document.write( ".5(5) = 2.5; the width of the rectangle
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by find the areas
\n" ); document.write( "5^2 = 25 area of square
\n" ); document.write( "10*2.5 = 25 area of the rectangle\r
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