document.write( "Question 770118: A rectangle has a perimeter of 84cm.If 4cm is taken from the length and added to the breadth it becomes a square.Find the dimensions and area of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #469304 by ramkikk66(644)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let L be length and B the breadth.\r\n" ); document.write( "Perimeter = 2*(L+B) = 84\r\n" ); document.write( "L+B = 42\r\n" ); document.write( "If 4 cm is taken from length it becomes L - 4\r\n" ); document.write( "If 4 cm is added to breadth it becomes B + 4\r\n" ); document.write( "Since it becomes a square, and all sides of square are equal, we have\r\n" ); document.write( "L - 4 = B + 4\r\n" ); document.write( "L = B + 8\r\n" ); document.write( "Since L + B = 42,\r\n" ); document.write( "Substituting for L as B + 8\r\n" ); document.write( "B + 8 + B = 42\r\n" ); document.write( "2*B = 34\r\n" ); document.write( "B = 17 cm\r\n" ); document.write( "Length = B + 8 = 25 cm\r\n" ); document.write( "Hope you got it :)\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |