Answer:
The minimum of amount of molding needed to put molding around the perimeter of the ceiling is [tex]65\ feet[/tex]
Step-by-step explanation:
Given diagonal of square ceiling is [tex]23\ feet[/tex].
The relation between diagonal [tex](d)[/tex] and side of square [tex](a)[/tex] is
[tex]d=\sqrt{2}(a)[/tex]
[tex]23=\sqrt{2}(a)\\\\\frac{23}{\sqrt{2}}=a\\a=16.25\ feet[/tex]
Now, we have side of square ceiling as[tex]16.25\ feet[/tex]
The relation between side and perimeter of square is
Perimeter of square[tex]=4(a)[/tex]
[tex]=4(16.25)\\=65\ feet[/tex]
The minimum of amount of molding needed to put molding around the perimeter of the ceiling is [tex]65\ feet[/tex]
