document.write( "Question 615177: the area of a square exceeds the area of a rectangle is 13squared. if the area of the square is y squared and the area of rectangle is (y+1)(y-3). find y.
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Algebra.Com's Answer #387064 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the area of a square exceeds the area of a rectangle is 13 squared. \n" ); document.write( "if the area of the square is y squared and the area of rectangle is (y+1)(y-3). find y. \n" ); document.write( ": \n" ); document.write( "Square area - rectangle area = 13^2 \n" ); document.write( "y^2 - (y+1)(y-3) = 169 \n" ); document.write( "FOIL \n" ); document.write( "y^2 - (y^2 - 2y - 3) = 169 \n" ); document.write( "y^2 - y^2 + 2y + 3 = 169; removing the brackets changes the signs \n" ); document.write( "2y = 169 - 3 \n" ); document.write( "2y = 166 \n" ); document.write( "y = 166/2 \n" ); document.write( "y = 83 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out \n" ); document.write( "83^2 - (84*80) = \n" ); document.write( "6889 - 6720 = 169 which is 13^2 \n" ); document.write( " \n" ); document.write( " |