document.write( "Question 746054: if two opposite sides of a square are each increased by 12 inches, and the other two sides are increased 4 inches, a rectangle is formed having a perimeter double that of the square. how long are the sides of the square? \n" ); document.write( "
Algebra.Com's Answer #454135 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! if two opposite sides of a square are each increased by 12 inches, \n" ); document.write( " and the other two sides are increased 4 inches, \n" ); document.write( " a rectangle is formed having a perimeter double that of the square. \n" ); document.write( " how long are the sides of the square? \n" ); document.write( ": \n" ); document.write( "Let x = the side of the square (4x = the perimeter) \n" ); document.write( "then \n" ); document.write( "(x+12) = the length of newly formed rectangle \n" ); document.write( "and \n" ); document.write( "(x+4) = the width of the rectangle \n" ); document.write( ": \n" ); document.write( "the equation for the statement: \n" ); document.write( "\" a rectangle is formed having a perimeter double that of the square.\" \n" ); document.write( "2(x+12) + 2(x+4) = 2(4x) \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "(x+12) + (x+4) = 4x \n" ); document.write( "2x + 16 = 4x \n" ); document.write( "16 = 4x - 2x \n" ); document.write( "2x = 16 \n" ); document.write( "x = 16/2 \n" ); document.write( "x = 8 in is the side of the square \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "You can confirm this by finding the perimeters of each, see if the rectangle \n" ); document.write( "is twice the square \n" ); document.write( " |