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Useful Information:

The doors toward the bottom of the photograph are 80 inches tall.

One story of the building has a height of 120 inches.

Definitions:  

Hoist – width

Fly – length

Union – blue field of flag

The flag in the photo complies with the standard proportions for the U.S. flag which are:

Hoist (width) of flag:             1

Fly (length) of flag:                1.9

Hoist (width) of union:      7/13    

 

Fly (length) of union:            0.76

Diameter of circle circumscribing star: 0.0616

Width of each stripe:                                 1/13

What is the approximate hoist, fly and perimeter, in feet, of the flag in the photograph:  Explain your reasoning.                                                         Hoist:                           Fly:                Perimeter:                    

What is the approximate area, in square feet, of the flag? Explain your reasoning.                                                                                                           Area:                                 

What is the approximate area, in square feet, of the union? Explain your reasoning.                                                                                                Area:                                 

What is the approximate area, in square feet, of the red part of the flag? Explain your reasoning.                                                                             Area:                                 

If a small insect lands on the flag, what is the probability that the insect lands on a part of the flag colored red?                                            Probability:                              

The American Airlines Arena has a maximum seating capacity of 19,600 people when used for basketball.  Suppose the U.S. flag in the photograph is to be pulled taut, supported (so that it does not touch the ground), and carried, stretched horizontally in an unfurled position, down the street by people (as if in a parade).  If one person can handle 18” of the flag’s perimeter, what percent of the maximum seating capacity of American Airlines Arena is needed to accomplish this task?                                     Percent:              

The National Basketball Association basketball court inside American Airlines Arena measures 50 feet x 94 feet.  By what approximate factor should the flag in the photograph be reduced or enlarged for it to cover the entire basket ball court?  Explain your reasoning.                                       Factor:                                          (be sure to include enlarge or reduce)

On graph paper, draw and color a U.S. flag in the correct proportion.  Explain your reasoning to justify the dimensions of the flag that you have drawn.

 
 Mar 6, 2020

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