document.write( "Question 511615: I am taking an Algebra course in school right now and I am having a bit of trouble with Word problems. Thank you in advance for your help. The question I have tonight is the perimeter of a rectangle is 194 inches. The length exceeds the width by 73 inches. Find the length and the width. \n" ); document.write( "
Algebra.Com's Answer #342297 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! P = perimeter \n" ); document.write( "L = length \n" ); document.write( "W = width \n" ); document.write( ". \n" ); document.write( "P = 2(L+W) = 2L + 2W \n" ); document.write( "P = 194 \n" ); document.write( ". \n" ); document.write( "The length is 73 more than width. \n" ); document.write( ". \n" ); document.write( "L = W+73 \n" ); document.write( "or \n" ); document.write( "L-73 = W \n" ); document.write( ". \n" ); document.write( "substitute L = W+73 \n" ); document.write( ". \n" ); document.write( "2(L+W) = P \n" ); document.write( "2(W+73 +W) = 194 \n" ); document.write( "2W + 146 + 2W = 194 \n" ); document.write( "4W = 48 \n" ); document.write( "W = 12 \n" ); document.write( ". \n" ); document.write( "L = W+73 \n" ); document.write( "L = 12+73 \n" ); document.write( "L = 85 \n" ); document.write( ". \n" ); document.write( "Check to see if the perimeter is correct. \n" ); document.write( ". \n" ); document.write( "2(L+W) = ?? \n" ); document.write( "2(85+12) = 2(97) = 194 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: The width = 12. The length = 85. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |