Question

[CALCULUS—OPTIMIZATION] A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5-foot wide decks along either side and 10-foot wide decks at the two ends. Find the dimensions of the smallest piece of property on which the pool can be built satisfying these conditions.

Answer 1

How can we use length and width relations to differentiate area with respect to a single variable

Answer 2

What are the arrangements of the decks are the like this:?


Or like this:??