document.write( "Question 41226: The length of a rectangle is 8 feet longer than its width which has the same dimensions as the sides of a square. If the area of the rectangle is equal to 160 square feet more than the area of the square, what are the length and width of the rectangle?
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document.write( "Thank You.
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Algebra.Com's Answer #26611 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! I am guessing that the width of the rectangle is equal to the sides of a square. \n" ); document.write( "Side * Side = Area \n" ); document.write( "w * w = a \n" ); document.write( "w^2 = a \n" ); document.write( "Also, the rectangle: \n" ); document.write( "(w + 8)(w) = 160 + a \n" ); document.write( "w^2 + 8w = 160 + a \n" ); document.write( "w^2 + 8w - 160 = w^2 \n" ); document.write( "8w = 160 \n" ); document.write( "w = 20 \n" ); document.write( "Plug: \n" ); document.write( "(w + 8) = length \n" ); document.write( "20 + 8 = length \n" ); document.write( "28 = length \n" ); document.write( "Square: 20x20 \n" ); document.write( "Rectangle: 20x28 \n" ); document.write( " |