document.write( "Question 949275: A yard has a perimeter of 184 feet. If six times the length of the yard equals seventeen times the width, what are the dimensions? \n" ); document.write( "
Algebra.Com's Answer #579527 by macston(5194)![]() ![]() You can put this solution on YOUR website! L=length=6/17W; W=width=17/6L; P=perimeter=2(L+W) \n" ); document.write( "6L=17W Divide each side by 17 \n" ); document.write( "(6/17)L=W Multiply each side by 17/6 \n" ); document.write( "L=(17/6)W \n" ); document.write( "P=2(L+W) \n" ); document.write( "184 ft=2(L+W) Divide each side by 2. \n" ); document.write( "92 ft=L+W Substitute for L. \n" ); document.write( "92 ft=(17/6)W+W Combine like terms. \n" ); document.write( "92 ft=(17/6)W+(6/6)W \n" ); document.write( "92 ft=(23/6)W Multiply each side by (6/23) \n" ); document.write( "(6/23)(92 ft)=W \n" ); document.write( "6*4 ft=W \n" ); document.write( "24 ft=W ANSWER 1: The width is 24 ft. \n" ); document.write( "L=(17/6)W \n" ); document.write( "L=(17/6)(24 ft) \n" ); document.write( "L=17*4 ft=68 ft ANSWER 2: Length is 68 ft. \n" ); document.write( "The yard is 68 feet by 24 feet. \n" ); document.write( "CHECK: \n" ); document.write( "Perimeter=2(L+W) \n" ); document.write( "184 ft=2(68 ft + 24 ft) \n" ); document.write( "184 ft=2(92 ft) \n" ); document.write( "184 ft=184 ft \n" ); document.write( " \n" ); document.write( " |