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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

Sagot :

Answer:

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

Step-by-step explanation:

Width of a rectangle ceiling [tex](w)=42 \,m[/tex]

Diagonal of a rectangle ceiling [tex](d)=70\,m[/tex]

Let [tex]l[/tex] denotes length of a rectangle ceiling.

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

[tex]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[/tex]

So,

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

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