document.write( "Question 125189: The length of a rectangle is 1 cm longer than its width. If the diagonal
\n" ); document.write( "of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #91838 by checkley71(8403)\"\" \"About 
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LET X BE ONE OF THE SIDES.
\n" ); document.write( "X+1 IS THE OTHER SIGN.
\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
\n" ); document.write( "2X^2+2X-15=0
\n" ); document.write( "USING THE QUADRATIC EQUATION:\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "X=(-2+-SQRT[2^2-4*2*-15])/2*2
\n" ); document.write( "X=(-2+-SQRT[4+120 ])/4
\n" ); document.write( "X=(-2+-SQRT[124])/4
\n" ); document.write( "X=(-2+-11.136)/4
\n" ); document.write( "X=(-2+11.136)/4
\n" ); document.write( "X=9.136/4
\n" ); document.write( "X=2.28 ANSWER.
\n" ); document.write( "X=(-2-11.138)/4
\n" ); document.write( "X=-13.138/4
\n" ); document.write( "X=-3.28 ANSWER.
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