# 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?

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 $\text{360 ft"^2}$.

To determine the length of each side, take the square root of $\text{360 ft"^2}$.

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

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

$\text{19 ft"xx"4=76 ft}$.

Jul 7, 2016

$75.9$ feet

#### Explanation:

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

$\sqrt{360} = \sqrt{6 \times 6 \times 10} = 6 \sqrt{10}$ feet.

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

$4 \times 6 \times \sqrt{10} = 24 \times 3.162 = 75.888$

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

$\sqrt{360} = \sqrt{6 \times 6 \times 10} = 6 \sqrt{10}$ feet.

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

$4 \times 6 \times \sqrt{10} = 24 \times 3.162 = 75.888$

or say $75.9$ feet.