document.write( "Question 726959: a rectangle has perimeter 56cm. if 4 cm is taken from the length and added to the width, the rectangle becomes a square. Find the dimensions of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #444908 by W3L(1)![]() ![]() ![]() You can put this solution on YOUR website! Let length and width = L and W.\r \n" ); document.write( "\n" ); document.write( "from statement \"A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square\", you can deduce \n" ); document.write( "2L + 2W = 56 ( its sides make up its perimeter )\r \n" ); document.write( "\n" ); document.write( "L - 4 = W + 4\r \n" ); document.write( "\n" ); document.write( "L = W + 8 \n" ); document.write( "sub L = W + 8 into 2L + 2W = 56\r \n" ); document.write( "\n" ); document.write( "2 ( W + 8 ) + 2W = 56 \n" ); document.write( "2W + 16 + 2W = 56 \n" ); document.write( "4W = 40 \n" ); document.write( "W = 10\r \n" ); document.write( "\n" ); document.write( "sub W = 10 into L = W + 8 \n" ); document.write( "L = 10 + 8 = 18\r \n" ); document.write( "\n" ); document.write( "original dimensions of rectangle, length = 18cm and width = 10cm \n" ); document.write( " |