The width is 8 meters and the length is 41 meters.
Work Step by Step
Since the length is stated in terms of the width, we can let w represent the width. The length is 1 more than five times the width, or w, so the length is equal to 1 + 5w. The formula for the perimeter of the rectangle is width + width + length + length The perimeter of the rectangle is 98, so we set up the following equation: w + w + 1 + 5w + 1 + 5w = 98 12w + 2 = 98 Subtract 2 to both sides. 12w = 96 Divide both sides by 12. w = 8 Since the width is 8, the length is 1 + 5 $\times$ 8 = 41.