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Mathematics, 21.06.2021 17:50 azaz1819

A shoe store owner is designing the layout of the displays in his store. The floor area for the store is 1,600 square feet. The owner wants to have circular displays for the shoes, each with a radius of 6 feet, and a 48-square-foot rectangular cashier’s station in the corner. Customers should be able to easily walk around the shoe displays, so there must be at least a 4-foot walkway around each. The owner started drawing the layout shown. The distance between grid lines is 4 feet.
Three shoe displays are shown on a grid. Each display is about 2 feet from the other displays.

Which statement about the possible designs is true, given the owner’s requirements?

Three circular displays can be placed in one row, exactly as shown on the given grid.
Two circular displays can be placed so they are each the same distance from the cashier’s station.
The maximum number of circular displays that can be used is 4.
The maximum number of circular displays that can be used is 5.

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