Question

A square ceiling has a diagonal of 23 ft. Shelton wants to put molding around the perimeter of the ceiling. The molding is sold by the foot. What is the minimum amount of molding he needs? 66 ft 65 ft 17 ft 16 ft

Answer 1

66ft

Explanation:

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Answer 2

The minimum of amount of molding needed to put molding around the perimeter of the ceiling is
`65\ feet`

Explanation:

Given diagonal of square ceiling is
`23\ feet`.

The relation between diagonal
`(d)` and side of square
`(a)` is

`d=√(2)(a)`

`23=√(2)(a)\\\\(23)/(√(2))=a\\a=16.25\ feet`

Now, we have side of square ceiling as
`16.25\ feet`

The relation between side and perimeter of square is

Perimeter of square
`=4(a)`

`=4(16.25)\\=65\ feet`

The minimum of amount of molding needed to put molding around the perimeter of the ceiling is
`65\ feet`