Answer:
12
Explanation:
Assuming that the shape of the playground is rectangular, we know that the area of a rectangle is length x width.
Let the length = x
width = x + 5
x(x + 5) = 204
x² + 5x = 204
x² + 5x - 204 = 0
(x + 17)(x - 12) = 0
x = -17 and x = 12
However, since x represents the length of the playground, length cannot be negative. The only value possible is x = 12.
Therefore, the playground has a length of 12 yd and a width of 12 + 5 = 17 yd.