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KengaRu [80]
3 years ago
6

Meg is decorating a ballroom ceiling with garland the width of the rectangle ceiling is 42 meters and the diagonal distance from

one corner to the opposite corner is 70 metere . How much garland will meg need for the length of the ceiling
Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

47.3\,m of garland is required for the length of the ceiling.

Step-by-step explanation:

Width of a rectangle ceiling (w)=42 \,m

Diagonal of a rectangle ceiling (d)=70\,m

Let l denotes length of a rectangle ceiling.

The relationship between length, width and diagonal of a rectangle is given as follows:

d^2=l^2+w^2\\70^2=l^2+42^2\\4900=l^2+1764\\l^2=4900-1764\\l^2=2236\\l=47.3\,m

So,

47.3\,m of garland is required for the length of the ceiling.

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