Question

A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approximately how much molding does he need? A. 19 feet B. 36 feet C. 76 feet D. 240 feet

Answer 1

Option C is correct

76 feet

Explanation:

Area of square(A) is given by:

`A =s^2`

where, s is the side of the square.

As per the statement:

A square ceiling has an area of 360 square feet.

⇒A = 360 square feet.

then;

`s^2 = 360`

⇒
`s = √(360) =18.973666`

Perimeter(P) of square is given by:

`P = 4s`

then;

`P = 4 \cdot 18.973666 = 75.894664 \approx 76 ft`

Therefore, 76 feet molding does he need.