document.write( "Question 1059568: If the perimeter of a rectangle is 54 cm and the area is 182 square cm, then what are the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #674692 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the perimeter of a rectangle is 54 cm and the area is 182 square cm, then what are the dimensions of the rectangle? \n" ); document.write( "---- \n" ); document.write( "54 = 2(L + W) \n" ); document.write( "L*W = 182 \n" ); document.write( "--------------------- \n" ); document.write( "L + W = 27 \n" ); document.write( "L = 27-W \n" ); document.write( "----- \n" ); document.write( "Substitute for \"L\" and solve for \"W\":: \n" ); document.write( "(27-W)W = 182 \n" ); document.write( "----- \n" ); document.write( "-W^2 + 27W - 182 = 0 \n" ); document.write( "------------------------------- \n" ); document.write( "W^2 - 27W + 182 = 0 \n" ); document.write( "------------------------- \n" ); document.write( "W = 32.59 (Width) \n" ); document.write( "L = 182/32.59 = 5.58 (Length) \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |