Square Foot Calculator Rectangle: Area in Sq Ft
- Area
- sq yd
- Result
- Area
- sq m
- Result
- Length
- 12 ft
- You entered
This calculator works out the area of a rectangle in square feet when you enter its length and width. You type in the two side measurements, and it returns the total area in square feet, plus the area in square yards and square meters for convenience. The formula is the standard one: area equals length multiplied by width.
Formula
The area of a rectangle is found by multiplying its length by its width:
A = L × W
Where:
- A = area in square feet (sq ft)
- L = length of the rectangle in feet (ft)
- W = width of the rectangle in feet (ft)
If you measure in inches, convert to feet first by dividing by 12. If you measure in yards, multiply by 3 to get feet. The calculator above assumes both inputs are already in feet.
Worked Example
Using the default values from the calculator: length = 12 ft, width = 8 ft.
- Multiply length by width: 12 × 8 = 96
- The area is 96 square feet.
- To get square yards: 96 ÷ 9 = 10.67 sq yd (rounded to 2 decimals).
- To get square meters: 96 × 0.092903 = 8.92 sq m (rounded to 2 decimals).
So a 12 ft by 8 ft rectangle covers 96 sq ft, which is about 10.67 sq yd or 8.92 sq m.
When to Use This Calculation
You need the square footage of a rectangle whenever you are buying flooring, paint, tile, or sod; estimating the size of a room; or planning a garden bed or patio. Real-world examples include:
- A bedroom that is 10 ft by 12 ft → 120 sq ft
- A driveway that is 20 ft by 40 ft → 800 sq ft
- A countertop that is 6 ft by 2.5 ft → 15 sq ft
This is also the base calculation for many other formulas, such as volume (if you multiply by height) or cost (if you multiply by price per square foot).
How to Measure a Rectangle Correctly
To get an accurate square footage, measure the longest side (length) and the shortest side (width) in the same unit. Use a tape measure for small areas or a laser measure for larger ones. If the space is not a perfect rectangle, break it into rectangles and add the areas together.
For example, an L-shaped room can be split into two rectangles. Measure each part separately, compute each area, and add them. That gives the total square footage.
Common Mistakes and How to Avoid Them
The most frequent error is mixing units. If you measure one side in feet and the other in inches, the result will be wrong. Always convert to the same unit before multiplying. For instance, 5 ft 6 in should be 5.5 ft, not 5.6 ft.
Another mistake is rounding too early. If you convert inches to feet and round to one decimal, you may lose accuracy. Keep full precision until the final answer, then round.
Finally, remember that square feet are not the same as feet. A 10 ft × 10 ft room is 100 sq ft, not 100 ft. The unit is squared because you multiplied two linear measurements.
Limits of the Formula
This formula only works for rectangles, where all angles are 90 degrees and opposite sides are equal. For triangles, circles, or irregular shapes, you need different formulas. For a triangle, area = 0.5 × base × height. For a circle, area = π × radius². If your shape is not rectangular, measure it carefully and use the appropriate formula.
Also, the formula gives the area in a flat plane. If you are covering a curved surface or a sloped roof, the actual surface area may be larger than the footprint. For such cases, consult a professional or use a more advanced method.
Frequently Asked Questions
How do I convert inches to feet for this calculator?
Divide the number of inches by 12. For example, 18 inches ÷ 12 = 1.5 feet. If you have a measurement like 5 ft 6 in, convert the inches part (6 ÷ 12 = 0.5) and add to the feet: 5 + 0.5 = 5.5 ft.
What if my room is not a perfect rectangle?
Break the space into smaller rectangles. Measure each rectangle separately, calculate each area, and add them together. For oddly shaped sections, you may need to approximate or use a different formula, such as for triangles or circles.
How many square feet are in a square yard?
There are 9 square feet in 1 square yard, because 1 yard = 3 feet, and 3 × 3 = 9. To convert square feet to square yards, divide by 9.
How do I calculate the cost of flooring based on square footage?
Multiply the area in square feet by the price per square foot of the material. For example, if a room is 120 sq ft and the flooring costs $3 per sq ft, the material cost is 120 × 3 = $360. Remember to add waste (usually 10%) and installation costs if applicable.
Can I use this for a rectangle with decimal measurements?
Yes, the formula works with decimals. Just enter the length and width as decimal numbers in feet. For example, 12.5 ft × 8.25 ft = 103.125 sq ft. The calculator rounds to two decimal places.
Related
Formula used
in length | Length | ft | 12 | 0 in width | Width | ft | 8 | 0 out sqft | Area | sq ft | length * width | 2 out sqyd | Area | sq yd | (length * width) / 9 | 2 out sqm | Area | sq m | (length * width) * 0.092903 | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.