document.write( "Question 713743: The length of a rectangle is 3 times its width. The perimeter of the rectangle is 72 cm. Find the demensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #438543 by Simnepi(216)![]() ![]() You can put this solution on YOUR website! the perimeter of a rectangle is found by adding the lengths of all the sides. \n" ); document.write( "draw a rectangle! \n" ); document.write( "Let us call the width of the rectangle x. \n" ); document.write( "because the length is 3 times the width, the length is 3x. \n" ); document.write( "adding the lengths of the sides of the rectangle to find the perimeter gives us \n" ); document.write( "x + 3x + x + 3x \n" ); document.write( "simplifying this gives \n" ); document.write( "8x \n" ); document.write( "since the perimeter is 72 cm then \n" ); document.write( "8x = 72 cm \n" ); document.write( "dividing both side by 8 gives \n" ); document.write( "x = 9cm \n" ); document.write( "so the width of the rectangle is 9 cm \n" ); document.write( "and, because the length is 3 times the width, the length is 27 cm. \n" ); document.write( "so the rectangle's dimensions are \n" ); document.write( "27 cm by 9 cm. \n" ); document.write( " |