you want the total area, less the pool, to be 105. So, that means that the border has width x, where
(6+2x)(10+2x)-(6)(10) = 105
x = 5/2 ft or 2'6"
How wide should the border be?
(6+2x)(10+2x)-(6)(10) = 105
x = 5/2 ft or 2'6"
First, let's calculate the area of the pool:
Area of the pool = width × length = 6 feet × 10 feet = 60 square feet
Now, let's subtract the area of the pool from the total area covered by the tiles:
Total area covered by the tiles = 105 square feet
Border area = Total area covered by the tiles - Area of the pool
Border area = 105 square feet - 60 square feet
Border area = 45 square feet
Since the border is uniform in width, we can assume that the width of the border is the same on all sides of the pool. To find the width, we need to divide the border area by the length or width of the pool (since they are the same in this case). Let's use the length:
Width of the border = Border area / Length of the pool
Width of the border = 45 square feet / 10 feet
Width of the border = 4.5 feet
Therefore, the width of the tile border should be 4.5 feet.