Mr. Wilson wants to build a square roof for his square deck in the back yard.
The roof will be 12 feet long on each side. He uses the formula (A = s) to
find the area of the roof. What will be the area of the square roof on Mr.
Wilson's deck? (give only the number value of your answer) *​

Respuesta :

Answer:

The area of the square roof is 144 square feet.

Step-by-step explanation:

Givens

  • He wants to build a square roof.
  • The roof will be 12 feet long.

We know that the area of a square is

[tex]A=s^{2}[/tex]

Where [tex]s=12 \ ft[/tex], according to the problem.

Replacing this value, we have

[tex]A=(12 \ ft)^{2} =144 \ ft^{2}[/tex]

Therefore, the area of the square roof is 144 square feet.

Answer: the area of the roof is 144 feet squared for each side (up and down), adding to a total of 288 ft^2

Step-by-step explanation:

If the roof is a square with a side lenght L =  12 feet, then we use the fact that the area of a square is equal to the square of the side lenght of the square, this is:

A = L^2  = (12 ft)^2 = 144 ft^2

Now, Mr. wilson uses the equation A = s, this is because the roof has 2 surfaces, one up and one bottom, then the total area is 2 times the value that we find earlier:

2*144 ft^2 = 288 ft^2