A rectangular public park has an area of 3,600 square feet. It is

surrounded on three sides by a chain link fence. If the entire length of

the fence measures 180 feet, how many feet long could the unfenced

side of the rectangular park be?

Manhattan includes 60 as the answer too, but in that case wouldn’t it be a square so shouldn’t that not be included?

Yes, you are true.

- Square is a special case of a rectangle, i.e, a rectangle can be a square but a square cannot be a rectangle.

That’s why I also think that including 60 as the answer choice, is a bad idea, even if the roots give the answer as 30 or 60. We must choose 30 as an answer choice and eventually reject 60.

Yes, 60 seems a bad idea. But, 30 doesn’t count either because in both cases 2 lengths and 1 width covered and 2 widths and 1 length covered, you get the uncovered as 60 or 120.

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Yes you are absolutely correct