+614 
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.
+118673 This is a repeat question Jenny.
Please do not put the whole thing.
Just put a link to your original questions and let people know that you are still very much in need of help.
To get you started:
the flag is 5 stories in length each story is 120 inches 120 x 5 = 600 inches in length (fly)
the hoist is in a ratio fly / hoist = 1.9 /1 1.9 / 1 = 600/ hoist so the hoist (width) = 600/1.9 = 315.8 inches
Now you can calculate the perimeter.
Union hoist (blue width) 7/13 of total hoist (it covers 7 of the equal width stripes....hence 7/13)
Union hoist = 7/13 x 315.8 = 170 inches
Union fly (width) = .76 (315.8) = 240 inches
you should be able to calculate the area of the Union now,,,,,
Each stripe is 1/13 of the hoist = 1/13 x 315.8 = 24.3 inches wide
now you should be able to calculate the fly of the short and long stripes to calculate the area of red stripes
+614 thank you, I have calculated them out and do not know how to start number 5... any advices? ( its the small insect one)
+37146 # 5 calculate the area of the WHOLE flag = fly x hoist
there are 7 red stripes.....each strip has an area of 1/13 hoist x fly
there are 7 of them 7 x 1/13 hoist x fly = red area (almost)
BUT 4 of the stripes are shorter....you must subtract the area of the stripes that are missing
width of a stripe x 4 x (Union fly) = area to be subtracted from the red area calculated area above
THEN probability of landing on red = red area/ total area of flag Do you see? go through it slowly and understand each step !
+614 i got 6.5%... is that correct?
my steps:
24.3 x 600 x 7=102060
24.3 x 4 x 240 =23328=area to be subtracted
subtract:
=78732 ( total red )
102060/ 15790 ( totla flag)
= 6.5 percent
