document.write( "Question 253929: Address book. The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover? \n" ); document.write( "
Algebra.Com's Answer #186289 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Address book. The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover? \n" ); document.write( "------------------------------------------ \n" ); document.write( "Perimeter = 2(L + W) = 14\" \n" ); document.write( "L+W = 7\" \n" ); document.write( "--------------- \n" ); document.write( "Pythagorean \n" ); document.write( "L^2 + W^2 = 5^2 \n" ); document.write( "--------------- \n" ); document.write( "L = 7-W \n" ); document.write( "--- \n" ); document.write( "Substitute for \"L\": \n" ); document.write( "(7-W)+W^2 = 25 \n" ); document.write( "49 - 14W + 2W^2 = 25 \n" ); document.write( "2W^2 - 14W + 24 = 0 \n" ); document.write( "W^2 - 7W + 12 = 0 \n" ); document.write( "(W-3)(W-4) = 0 \n" ); document.write( "--- \n" ); document.write( "If W = 3, L = 7-W = 4 \n" ); document.write( "If W = 4, L = 7-W = 3 \n" ); document.write( "---------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |