58 feet by 49 feet
Explanation:
Let the length be l and the width be w.
Since the perimeter is 214 feet,
2(l + w) = 214
l + w = 107 (Divide both sides by 2)
l = 107 - w (Make l the subject of the formula)
We also know that the length is 9 feet longer than the width. We can express this as:
l = w + 9
Therefore, by substituting both equations, we get:
w + 9 = 107 - w
2w = 98
w = 49 feet
With this, we can also find the length:
l = 49 + 9
l = 58 feet
Hence the dimension is 58 feet by 49 feet.