The perimeter of a rectangular playground must be no greater than 120 m. One dimension of the playground must be 22 m. Find the possible lengths of the other dimensions.

The perimeter (P) of the rectangle is calculated by the equation,

P = 2W + 2L

where L and W are length and width, respectively. Using the conditions given above and letting the given dimension be the width,

2 (22 m) + 2L ≤ 120

Solving for W gives an answer of L ≤ 38