document.write( "Question 35929: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally. \n" ); document.write( "
Algebra.Com's Answer #21988 by Prithwis(166)![]() ![]() ![]() You can put this solution on YOUR website! Let the width be x ft. \n" ); document.write( "The length is x+50 ft. \n" ); document.write( "The length of the diagonal is sqrt [(x^2) + (x+50)^2] ft; \n" ); document.write( "[(x^2) + (x+50)^2] = 250^2 \n" ); document.write( "=> x^2 + (x+50)^2 = 62500 \n" ); document.write( "=> x^2 + x^2 + 100x + 2500 = 62500 \n" ); document.write( "=> x^2 + 50x - 30000 = 0 \n" ); document.write( "=> x = [-50 + sqrt(2500+120000)]/2 because x cannot be negative \n" ); document.write( "=> x = [-50 + sqrt(122500)]/2 \n" ); document.write( "=> x = (-50+350)/2 = 150; \n" ); document.write( "The Dimension of the parking lot is 200 ft X 150 ft \n" ); document.write( " |