Candice is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 30 meters and the diagonal distan

Question

3 years ago

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Candice is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 30 meters and the diagonal distan

ce from one corner to the opposite corner is 34 meters. How much garland will Candice need for the length of the ceiling

Mathematics

1 answer:

Vsevolod [243] · Answer 1 · 2022-06-21T14:51:06+03:00

Answer:

16 meters

Step-by-step explanation:

Candice is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 30 meters and the diagonal distance from one corner to the opposite corner is 34 meters. How much garland will Candice need for the length of the ceiling

The formula to solve for the above question is:

Diagonal² = Width² + Length²

34² = 30² + L²

Collect like terms

L² = 34² - 30²

L = √34² - 30²

L = √(256)

L = 16 meters

Therefore, the length of the ceiling is 16 meters