document.write( "Question 525377: Could you please answer the following. \"A rectangle has a perimeter of 38 feet and an area of 48 square feet. What are the dimensions of the rectangle\"? \n" ); document.write( "
Algebra.Com's Answer #348079 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 2(L+W) = 38 \n" ); document.write( "L*W = 48 \n" ); document.write( "so \n" ); document.write( "W = 48/L \n" ); document.write( ". \n" ); document.write( "substitute \n" ); document.write( ". \n" ); document.write( "2(L+48/L) = 38 \n" ); document.write( "2L +96/L = 38 \n" ); document.write( ". \n" ); document.write( "multiply both sides by L to eliminate the fraction \n" ); document.write( ". \n" ); document.write( "2L^2 +96 = 38L \n" ); document.write( ". \n" ); document.write( "2L^2 -38L +96 = 0 \n" ); document.write( ". \n" ); document.write( "divide by 2 \n" ); document.write( ". \n" ); document.write( "L^2 -19L +48 = 0 \n" ); document.write( ". \n" ); document.write( "factor \n" ); document.write( ". \n" ); document.write( "(L-3)(L-16) = 0 \n" ); document.write( ". \n" ); document.write( "L = 3 or L=16 \n" ); document.write( "so \n" ); document.write( "W = 16 or 3, respectively \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |