Question

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

Answer 1

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

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.