Asked by Samuel
A hotel wants to cover the floor of the lobby with as many rugs as pssible without the rugs overlapping. The lobby floor is the shape of a rectangle with length 19 feet and width 13 feet. The rugs are circular with a radius of 3 feet. What is the area of the floor that will not be covered by the rugs? Round your answers to the nearest square foot
28.3 ft^2
77.4 ft^2
169.6 ft^2
218.7 ft^2
28.3 ft^2
77.4 ft^2
169.6 ft^2
218.7 ft^2
Answers
Answered by
Damon
how many diameters fit in length? 19/6 = 3 ...
how many diameters fit in width ? 13/6 = 2 ....
so 2*3 = 6 rugs
rug area = 6 pi (3)^2
floor area = 13 * 19
subtract rug area from floor area
how many diameters fit in width ? 13/6 = 2 ....
so 2*3 = 6 rugs
rug area = 6 pi (3)^2
floor area = 13 * 19
subtract rug area from floor area
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