The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning
Answers
Given : The diagonal of square A, marked off by the red stars, is where the concession stand is located. school banner 40-feet long,
To find : determine if the school banner can fit across the length of the concession stand or not
Solution:
Missing Details :
Attached figure
The front of the stage, side C, is 50 feet long.
40-foot rope runs along the side of square B.
30-foot rope runs along the side of square A.
Side of Square A = 30 ft
=> Distance between Red Stars = Diagonal of square of 30 ft side
=> Diagonal = √(30)² + (30)² = 30√2
=> Diagonal = 30 * 1.414
=> Diagonal = 42.42
Hence distance between two stars = 42.42 ft
Banner Length = 0 ft
Hence Banner can not fit across the length of concession stand
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