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sti192
12.10.2020 •
Mathematics
physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?
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Ответ:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
Solve using quadratic formula
x=![\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}](/tpl/images/0798/6780/15fbf.png)
x=![\frac{-46+/-\sqrt{2116+50688} }{22}](/tpl/images/0798/6780/bce53.png)
x=![\frac{-46+/-\sqrt{52804} }{22}](/tpl/images/0798/6780/b0a42.png)
Simplify it
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
Ответ:
6
Step-by-step explanation:
6