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A one-story building having a rectangular floor space of 13,200 𝑓𝑡^2 is to be constructed
where a 22 ft walkway is required in the front and back, and a 15 ft walkway is required on each side. Find the dimensions of the lot having the least area on which this building can be located.
inscribed in a sphere of radius 6 inches.
of the largest rectangular field that can be enclosed by using 240 m of fence for the other three sides.
is a maximum.
An island is at point A 6 mi offshore from the nearest point B on a straight beach. A store is at point C 7 mi down the beach from B. If a man can row at the rate of 4 mi/hr, and walk at the rate of 5 mi/hr, where should he land in order to go from the island to the store in the least possible time.
Two parallel sides of a rectangle are increasing in length at the rate of 2 (in/sec) while the other two sides are decreasing in length such that the figure remains a rectangle with a constant area of 50 𝑖𝑛^2. What is the rate of change of the perimeter when the length of the increasing pair of sides is 5 𝑖𝑛?
