document.write( "Question 473522: the horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 cm more than 3 times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the demensisions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #324750 by ccs2011(207)![]() ![]() You can put this solution on YOUR website! Let the length of the side of the square be x. \n" ); document.write( "Then the dimensions of the rectangle are: 1/2x and 3x +4 \n" ); document.write( "Perimeter of square = 4x \n" ); document.write( "Perimeter of rectangle = 1/2x + 1/2x + (3x+4) +(3x+4) = 7x + 8 \n" ); document.write( "Twice the perimeter of square is 8x. \n" ); document.write( "Then equation is: \n" ); document.write( "8x = 7x + 8 \n" ); document.write( "Subtract 7x on both sides \n" ); document.write( "x = 8 \n" ); document.write( "--> 1/2(8) = 4, 3(8)+4 = 28 \n" ); document.write( "Therefore dimensions of rectangle are 28 by 4. \n" ); document.write( " |