document.write( "Question 1121823: Find the dimensions of a rectangle whose area is 192 cm2 and whose perimeter is 56 cm. (Enter your answers as a comma-separated list.) \n" ); document.write( "
Algebra.Com's Answer #737814 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Half perimeter is L+W=28 cm \n" ); document.write( "L*W=192 cm^2 \n" ); document.write( "L=28-W \n" ); document.write( "(28-W)W=-W^2+28W, and that equals 192 \n" ); document.write( "0=W^2-28W+192 \n" ); document.write( "0=(W-16)(W-12) \n" ); document.write( "W=16 or 12 \n" ); document.write( "Length longer by convention, so length is 16 cm and width is 12 cm. \n" ); document.write( "(12, 16) for (W, L) \n" ); document.write( " \n" ); document.write( " |