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 .…

Question

asked Aug 24, 2022 201k views

1 Answer

Amzad · Answer 1 · 2022-08-28T21:57:41+0000

Answer:

$47.3\,m$ 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
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.