Answer:
1272 tiles
Explanation:
You want to know the number of 6-inch square tiles required to pave a 3-ft wide walkway around a 15 ft by 32 ft pool.
Walk area
The center-line of the walkway is a rectangle that is 15+3 = 18 ft wide and 32+3 = 35 ft long. Its perimeter is ...
P = 2(18 +35) = 2(53) = 106 ft
The area of the walk is the product of this centerline length and the width of the walk:
length × width = (106 ft)(3 ft) = 318 ft²
Tiles
The area of a tile is (1/2 ft)(1/2 ft) = 1/4 ft². Then the number of tiles required for the walk is ...
(318 ft²)/(1/4 ft²/tile) = 4×318 tiles = 1272 tiles
1272 tiles are required to pave this walkway.
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Additional comment
Another way to find the area of the walkway is to subtract the pool area from the total area of the pool and walk:
(15 +2·3)(32 +2·3) -15·32 = 318 . . . . square feet
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