Hector is decorating a ballroom ceiling with garland. If the rectangular ceiling is 65 meters by 72 meters, how much garland will Hector need to reach from one corner of the ceiling to the
opposite corner?
meters
Submit

d = 97 m

Step-by-step explanation:

Given that,

The dimensions of the rectangular ceiling is 65 meters by  72 meters.

We need to find how much garland will Hector need to reach from one corner of the ceiling to the  opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :

So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.

29.5977692753

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)