



 
Shaun, There is not enough information here to solve the problem. Do you know = Harley Shaun wrote back
Shaun, It's not that neither your dad or I could figure it out, the difficulty is that there are many possibilities for the dimensions of the parks. Suppose Redwood Park is x yards by y yards and Glendale Park is p yards by q yards. Then you know
You have 4 unknowns and only two equations so I wouldn't expect to be able to find a unique solution. Suppose for example that p = q = 10 yards, then
From the first equation y = 30  x and hence, substituting into the second equation gives
This factors as
and thus
Going back to the original question you can verify that the Redwood Park being 5 yards by 25 yards and the Glendale Park being 10 yards by 10 yards is a valid answer. But what if the Redwood Park is p = 10 yards by q = 5 yards. A similar analysis yields dimensions of 32.707 and 2.293 yards as the dimensions of the Glenwood Park. Another valid answer. There are many valid answers. Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 