document.write( "Question 75079: The length of a rectangle is 1 cm longer than the width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle. \r
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Algebra.Com's Answer #53960 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! THE DIAGONAL FORMS A TRIANGLE WITH SIDES X, X+1 & 4 \n" ); document.write( "USING THE PATHOGOREAN FORMULA \n" ); document.write( "A^2+B^2=C^2 \n" ); document.write( "X^2+(X+1)^2=4^2 \n" ); document.write( "X^2+X^2+2X+1=16 \n" ); document.write( "2X^2+2X+1-16=0 \n" ); document.write( "2X^2+2X-15=0 \n" ); document.write( "2X^2+2X-15=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET \n" ); document.write( "X=(-2+-SQRT[2^2-4*2*-15])/2*2 \n" ); document.write( "X=(-2+-SQRT4+120])/4 \n" ); document.write( "X=(-2+-SQRT124)/4 \n" ); document.write( "X=(-2+-11.13)/4 \n" ); document.write( "X=(-2+11.13)/4 \n" ); document.write( "X=9.13/4 \n" ); document.write( "X=2.28 ANSWER. \n" ); document.write( "X=(-2-11.13)/4 \n" ); document.write( "X=-13.13/4 \n" ); document.write( "X=-3.28 ANSWER. \n" ); document.write( " \n" ); document.write( " |