document.write( "Question 65712: The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (length and width) of the rectangle?\r
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document.write( "Talk about confusing to me! Thank you for the help! \n" );
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Algebra.Com's Answer #46392 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! width = w \n" ); document.write( "length = w + 1 \n" ); document.write( "A width and a length can make legs of a right triangle with the diagonal being its hypotenuse. *Draw a picture to better understand. \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "(w)^2 + (w + 1)^2 = 4^2 \n" ); document.write( "w^2 + w^2 + 2w + 1 = 16 \n" ); document.write( "2w^2 + 2w = 15 \n" ); document.write( "w^2 + w = 7.5 \n" ); document.write( "(w + 0.5)^2 = 7.75 \n" ); document.write( "w + 0.5 = +- sqrt(7.75) \n" ); document.write( "w = -0.5 +- sqrt(7.75) \n" ); document.write( "width about 2.2839 \n" ); document.write( "length about 3.2839 \n" ); document.write( "*You can use other ways to solve: w^2 + w - 7.5 = 0 \n" ); document.write( " |