document.write( "Question 398282: The area of a rectangle is five times the area of a square. If the rectangle is 50 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.\r
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document.write( " inches (length of rectangle)
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document.write( " inches (width of rectangle)
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document.write( " inches (side length of square) \n" );
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Algebra.Com's Answer #282299 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The area of a rectangle is five times the area of a square. \n" ); document.write( "If the rectangle is 50 inches long, and the width of the rectangle is the same \n" ); document.write( " as the length of a side of the square, find the dimensions of both the rectangle and the square. \n" ); document.write( ": \n" ); document.write( "Let s = side of the square, and width of the rectangle \n" ); document.write( "then \n" ); document.write( "s^2 = area of the square \n" ); document.write( "and \n" ); document.write( "50s = area of the rectangle \n" ); document.write( ": \n" ); document.write( "It says,\"The area of a rectangle is five times the area of a square.\" therefore: \n" ); document.write( "50s = 5s^2 \n" ); document.write( "divide both sides by 5s, results \n" ); document.write( "10 = s \n" ); document.write( "width of rect and side of square = 10 inches \n" ); document.write( ": \n" ); document.write( "10^2 = 100 sq/inches the area of the square \n" ); document.write( "and \n" ); document.write( "50*10 = 500 sq/inches the area of the rectangle (5 times the square) \n" ); document.write( " |