Rectangular Border Flooring Calculator

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Calculation Steps

Step 1: Measure the outer length and width of the room.

Step 2: Subtract twice the border width from both the length and width to get the inner dimensions.

Formula: $$\text{Inner Length} = \text{Outer Length} - 2 \times \text{Border Width}$$

Formula: $$\text{Inner Width} = \text{Outer Width} - 2 \times \text{Border Width}$$

Step 3: Calculate the area by multiplying the inner length by the inner width.

Formula: $$\text{Area} = \text{Inner Length} \times \text{Inner Width}$$

Step 4: Add the waste factor to the total area.

Formula: $$\text{Total Area} = \text{Area} \times (1 + \text{Waste Factor})$$

Step 5: Calculate the total cost by multiplying the total area by the price per square foot (if provided).

Formula: $$\text{Total Cost} = \text{Total Area} \times \text{Price per Square Foot}$$

Example

Let's say you have a room with an outer length of 20 feet, an outer width of 15 feet, a border width of 1 foot, a waste factor of 5%, and a price per square foot of $3.00.

Step 1: Calculate the inner dimensions:

$$\text{Inner Length} = 20 - 2 \times 1 = 18 \text{ ft}$$

$$\text{Inner Width} = 15 - 2 \times 1 = 13 \text{ ft}$$

Step 2: Calculate the area:

$$\text{Area} = 18 \times 13 = 234 \text{ sq ft}$$

Step 3: Add the waste factor:

$$\text{Total Area} = 234 \times (1 + 0.05) = 234 \times 1.05 = 245.7 \text{ sq ft}$$

Step 4: Calculate the total cost:

$$\text{Total Cost} = 245.7 \times 3.00 = 737.10$$

So, you would need 245.7 sq ft of flooring, and the total cost would be $737.10.