document.write( "Question 1061614: The length of Yolanda's closet is 2 feet longer that twice it's width. If the diagonal measures 13 feet, then what are the length and width?
\n" );
document.write( "
\n" );
document.write( "there is a figure showed how one side is 2x+2 ft and 13 ft on the diagonal and x on the shortest line \n" );
document.write( "
Algebra.Com's Answer #676385 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! width is x \n" ); document.write( "length is 2x+2 \n" ); document.write( "hypotenuse squared=x^2+(2x+2)^2=x^2+4x^2+8x+4 \n" ); document.write( "That is 5x^2+8x+4=13^2=169 \n" ); document.write( "or 5x^2+8x-165=0 \n" ); document.write( "x=(1/10)(-8+/- sqrt (64+3300); sqrt (3364)=58 \n" ); document.write( "x=(1/10)(50)=5, only positive root. \n" ); document.write( "Therefore, the width is 5 feet, length 12 feet, and diagonal is 13 feet. This is a well known 5-12-13 right triangle. \n" ); document.write( " \n" ); document.write( " |