Perimeter of pool is 84ft squared.

The removal charge for tile is $20 per linear foot. Each new 6-inch square tile costs $2. A pool professional installs the new tile for an additional $300 charge. What is the total cost for removal and installation, and additional charge?

To find the total cost for the removal and installation of the tiles, we need to calculate the cost of removal and the cost of new tiles, and then add the cost of installation.

1. Calculation for the cost of removal:
The perimeter of the pool is given as 84 feet. The removal charge is $20 per linear foot.
So, the cost of removal will be 84 feet * $20/foot = $1680.

2. Calculation for the cost of new tiles:
We need to determine the number of tiles required to cover the pool's perimeter.
Since the pool is rectangular, we assume that the sides are equal in length.
Let's denote the length of one side as "x" feet.
So, the perimeter of the rectangular pool can be expressed as 2x + 2x = 4x.
Given that the perimeter is 84 feet, we have 4x = 84.
Solving for x, we find that x = 84/4 = 21 feet.

To calculate the number of 6-inch square tiles needed, we need to convert the length of one side (21 feet) to inches.
1 foot = 12 inches, so 21 feet = 21 * 12 = 252 inches.

Now, since each tile is 6 inches by 6 inches, the area of one tile is 6 inches * 6 inches = 36 square inches.

To get the total number of tiles needed, we divide the pool's perimeter (in inches) by the area of one tile.
Total tiles needed = (252 inches) / (36 square inches) = 7 tiles.

The cost of each new 6-inch square tile is $2.
So, the cost of the new tiles will be 7 tiles * $2/tile = $14.

3. Calculation for the cost of installation:
The cost of installation by a pool professional is given as an additional $300 charge.

Now, to find the total cost, we add the cost of removal, the cost of new tiles, and the cost of installation:
Total cost = Cost of removal + Cost of new tiles + Cost of installation
Total cost = $1680 + $14 + $300
Total cost = $1994

Therefore, the total cost for the removal and installation, including the additional charge, is $1994.