The perimeter is the sum of all of the sides
perimeter = length + width + length + width = 2*(length + width)
perimeter = 2*((9 + 2*width) + width) (we know length is 9 more than twice width)
60 = 2*(9 + 3*width) (combine terms inside parentheses)
30 = 9 + 3*width (divide by 2)
21 = 3*width (subtract 9)
7 = width (divide by 3)
9 + 2*width = length = 9 + 2*7 = 23
The rectangle is 9 meters wide and 23 meters long.
perimeter = length + width + length + width = 2*(length + width)
perimeter = 2*((9 + 2*width) + width) (we know length is 9 more than twice width)
60 = 2*(9 + 3*width) (combine terms inside parentheses)
30 = 9 + 3*width (divide by 2)
21 = 3*width (subtract 9)
7 = width (divide by 3)
9 + 2*width = length = 9 + 2*7 = 23
The rectangle is 9 meters wide and 23 meters long.