document.write( "Question 28026: The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimensions the rectangle.\r
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document.write( "(I tried to double the diagonal dimensions and multiply L*W, but I could not come up with the right answer) \n" );
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Algebra.Com's Answer #15303 by venugopalramana(3286) You can put this solution on YOUR website! The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimensions the rectangle.\r \n" ); document.write( "\n" ); document.write( "(I tried to double the diagonal dimensions and multiply L*W, but I could not come up with the right answer) \n" ); document.write( "area =LW=45..............OR...........L=45/W \n" ); document.write( "DIAGONAL =SQUARE ROOT OF (L^2+W^2)=10...SQUARING BOTH SIDES ... \n" ); document.write( "L^2+W^2=100 \n" ); document.write( "45^2/W^2+W^2=100 \n" ); document.write( "LET W^2=X \n" ); document.write( "2025/X+X=100 \n" ); document.write( "2025+X^2=100X \n" ); document.write( "X^2-100X+2025=0 \n" ); document.write( "USING THE QUADRATIC FORMULA \n" ); document.write( " \n" ); document.write( "X=28.2O55 \n" ); document.write( "HENCE W =SQRT(X)=5.31 \n" ); document.write( "L=45/5.31=8.47\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |