A backyard pool has a length of 25 feet and a width of 12 feet and a depth of 4.45 feet. what is the surface area of the pool covered by tiles?
First, calculate the perimeter of the pool:
Perimeter = 2(length + width)
Perimeter = 2(25 + 12)
Perimeter = 2(37)
Perimeter = 74 feet
Next, calculate the area of the sides of the pool that need to be covered with tiles:
Side 1 (length x depth): 25 feet x 4.45 feet = 111.25 square feet
Side 2 (width x depth): 12 feet x 4.45 feet = 53.4 square feet
Side 3 (length x depth): 25 feet x 4.45 feet = 111.25 square feet
Side 4 (width x depth): 12 feet x 4.45 feet = 53.4 square feet
Total area of sides = 111.25 + 53.4 + 111.25 + 53.4 = 329.3 square feet
Finally, calculate the total surface area of the pool covered by tiles:
Surface area = Perimeter x Depth + Total area of sides
Surface area = 74 feet x 4.45 feet + 329.3 square feet
Surface area = 329.3 + 329.3
Surface area = 658.6 square feet
Therefore, the surface area of the pool covered by tiles is 658.6 square feet.