document.write( "Question 229854: The side of a square has length s. The length of a rectangle is 4 meters more than the side of the square and the width of the rectangle is 2 meters less than the side of the square. The perimeter of the rectangle is 24 meters less than twice the perimeter of the square. Find the dimensions of each figure. Can you show me how to step up the equation correctly? \n" ); document.write( "
Algebra.Com's Answer #170466 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The side of a square has length s. The length of a rectangle is 4 meters more than the side of the square and the width of the rectangle is 2 meters less than the side of the square. The perimeter of the rectangle is 24 meters less than twice the perimeter of the square. Find the dimensions of each figure. \n" ); document.write( ": \n" ); document.write( "s = side of the square \n" ); document.write( "then \n" ); document.write( "(s+4) = length of the rectangle \n" ); document.write( "and \n" ); document.write( "(s-2) = width of the rectangle \n" ); document.write( ": \n" ); document.write( "Given: \"The perimeter of the rectangle (Pr) is 24 meters less than twice the perimeter of the square (Ps)\" \n" ); document.write( "Pr = 2Ps - 24 \n" ); document.write( ": \n" ); document.write( "Pr = 2(s+4) + 2(s-2); (perimeter of the rectangle) \n" ); document.write( "Pr = 2s + 8 + 2s - 4 \n" ); document.write( "Pr = 4s + 4 \n" ); document.write( "and \n" ); document.write( "Ps = 4s; (perimeter of the square) \n" ); document.write( "therefore \n" ); document.write( "4s + 4 = 2(4s) - 24 \n" ); document.write( "4s + 4 = 8s \n" ); document.write( "4 + 24 = 8s - 4s \n" ); document.write( "28 = 4s \n" ); document.write( "s = \n" ); document.write( "s = 7 meters is the side of the square \n" ); document.write( "then \n" ); document.write( "7+4 = 11 m is the length of the rectangle \n" ); document.write( "and \n" ); document.write( "7-2 = 5 m is the width of the rectangle \n" ); document.write( ": \n" ); document.write( "Sumarize: side of square = 7m, Rectangle 11 by 5 m \n" ); document.write( ": \n" ); document.write( "Check this in the statement: \n" ); document.write( "\"The perimeter of the rectangle (Pr) is 24 meters less than twice the perimeter of the square (Ps)\" \n" ); document.write( "2(11) + 2(5) = 2(4(7)) - 24 \n" ); document.write( "22 + 10 = 2(28) - 24 \n" ); document.write( "32 = 56 - 24 \n" ); document.write( "; \n" ); document.write( "Were these steps clear to you? \n" ); document.write( " |