Kira is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 45 meters and the diagonal distance from one corner to the opposite corner is 75 meters. How much garland will Kira need for the length of the ceiling?(Pythagorean theorem)
Using the Pythagorean theorem, we can find the length of the ceiling:
a^2 + b^2 = c^2
where a = width of the ceiling = 45 meters
b = length of the ceiling
c = diagonal distance = 75 meters
45^2 + b^2 = 75^2
2025 + b^2 = 5625
b^2 = 5625 - 2025
b^2 = 3600
b = √3600
b = 60 meters
Therefore, Kira will need 60 meters of garland for the length of the ceiling.