A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. About much molding does he need?

3 Answers
Jul 7, 2016

He will need approximately 76 ft of crown molding.

Explanation:

Since the ceiling is square, which by definition has four equal sides, the square area is determined by squareing two sides, which gives us #"360 ft"^2"#.

To determine the length of each side, take the square root of #"360 ft"^2"#.

#sqrt (360 "ft"^2)~~"19 ft"#

To determine the approximate amount of crown molding needed, multiply 19 ft by four.

#"19 ft"xx"4=76 ft"#.

Jul 7, 2016

#75.9# feet

Explanation:

As the ceiling is square in shape and its area is #360# square feet, each side is

#sqrt360=sqrt(6xx6xx10)=6sqrt10# feet.

Now molding has to be along entire perimeter i.e. along its four sides, hence molding needed is

#4xx6xxsqrt10=24xx3.162=75.888#

or say #75.9# feet.

Jul 7, 2016

#75.9# feet

Explanation:

As the ceiling is square in shape and its area is #360# square feet, each side is

#sqrt360=sqrt(6xx6xx10)=6sqrt10# feet.

Now molding has to be along entire perimeter i.e. along its four sides, hence molding needed is

#4xx6xxsqrt10=24xx3.162=75.888#

or say #75.9# feet.