A backyard swimming pool has a length of 25 feet, a width of 12 feet, and a depth of 4.5 feet. What is the surface area of the pool covered by tiles? (1 point) 633ft^(2) 1,350ft^(2) 933ft^(2) 333ft^(2)

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find the surface area covered by tiles, we need to find the area of the walls and bottom of the pool.

The area of the walls can be found by adding the area of each wall. The pool has two walls that are 25 feet long and 4.5 feet tall and two walls that are 12 feet long and 4.5 feet tall.

Area of the walls = 2(25 ft x 4.5 ft) + 2(12 ft x 4.5 ft)
Area of the walls = 2(112.5 ft^2) + 2(54 ft^2)
Area of the walls = 225 ft^2 + 108 ft^2
Area of the walls = 333 ft^2

The area of the bottom of the pool can be found by multiplying the length and width of the pool.

Area of the bottom = 25 ft x 12 ft
Area of the bottom = 300 ft^2

Therefore, the total surface area covered by tiles is the sum of the area of the walls and the area of the bottom.

Total surface area covered by tiles = Area of the walls + Area of the bottom
Total surface area covered by tiles = 333 ft^2 + 300 ft^2
Total surface area covered by tiles = 633 ft^2

Therefore, the surface area of the pool covered by tiles is 633 ft^2.

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