Question

e) 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.

Answer 1

i think the answer should be 60 ft long bc that would leave 10ft on each side of the banner...

Answer 2

The school banner can fit across the length of the concession stand

Explanation:

The following information is missing:

The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.

The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of quare A is:

diagonal² = 30² + 30²

diagonal = √1800 = 42.43 ft

which is longer than the banner.