document.write( "Question 452193: The perimeter of a rectangle is 132 meters. The length is 9 meters more than twice the width. What are the dimensions. \n" ); document.write( "
Algebra.Com's Answer #310835 by Leaf W.(135)![]() ![]() You can put this solution on YOUR website! width: x \n" ); document.write( "\"The length is 9 meters more than twice the width.\" \n" ); document.write( "\"twice the width\": 2x \n" ); document.write( "\"9 meters more than twice the width\": 2x + 9 \n" ); document.write( "Therefore, length: 2x + 9 \n" ); document.write( "The perimeter or a rectangle is denoted as 2(length) + 2(width). With the afore-said values of length and width, the perimeter is 2(2x + 9) + 2(x). Since the problem states that the perimeter is 132 meters: \n" ); document.write( "2(2x + 9) + 2x = 132 \n" ); document.write( "Solve for x. Distribute the 2 into the 2x and 9: \n" ); document.write( "4x + 18 + 2x = 132 \n" ); document.write( "Add like terms (4x and 2x): \n" ); document.write( "6x + 18 = 132 \n" ); document.write( "Subtract 18 from both sides: \n" ); document.write( "6x = 114 \n" ); document.write( "Divide both sides by 6: \n" ); document.write( "x = 19 \n" ); document.write( "So, the width is 19 meters. To find the length, plug this value (19) in for x in the expression for length (2x + 9): \n" ); document.write( "2x + 9 \n" ); document.write( "2(19) + 9 \n" ); document.write( "38 + 9 \n" ); document.write( "47 \n" ); document.write( "So, the length is 47 meters. \n" ); document.write( "***Therefore, the length of the rectangle is 47 meters and the width of the rectangle is 19 meters. \n" ); document.write( " |