Find The Square Footage Of A 6 Sided Shape Calculator

Calculate the area of a 6-sided L-shaped room or area using our square footage of a 6 sided shape calculator. Enter the outer and inner dimensions below.

L-Shape Area Calculator

What is a Square Footage of a 6 Sided Shape Calculator?

A square footage of a 6 sided shape calculator helps determine the area of a six-sided polygon. While “6-sided shape” can refer to any hexagon, our calculator is specifically designed for a common irregular 6-sided shape: the L-shape. This shape is frequently encountered in rooms, garden plots, or building sections that are formed by two rectangles joined at a corner, or equivalently, a larger rectangle with a smaller rectangle removed from one corner.

This type of square footage of a 6 sided shape calculator is particularly useful for homeowners, contractors, landscapers, and real estate agents who need to find the area of L-shaped spaces for flooring, painting, planting, or property valuation. Calculating the area of a regular hexagon is different, but L-shapes are very common in interior spaces and land parcels.

Common misconceptions include thinking all 6-sided shapes are regular hexagons or that their area calculation is always complex. For L-shapes, the calculation is quite straightforward by considering it as a larger rectangle minus a smaller one.

L-Shaped Area Formula and Mathematical Explanation

To find the square footage of an L-shaped 6-sided area, we visualize it as a large rectangle with a smaller rectangle removed from one of its corners. The formula is:

Area = (Outer Length × Outer Width) – (Inner Cutout Length × Inner Cutout Width)

Or, using variables:

Area = (L × W) - (l × w)

Where:

• L = Outer Length of the encompassing rectangle
• W = Outer Width of the encompassing rectangle
• l = Length of the inner cutout rectangle
• w = Width of the inner cutout rectangle

This method works because the L-shape occupies the area of the large rectangle minus the area of the “missing” corner rectangle.

Variable	Meaning	Unit	Typical Range
L	Outer Length	feet (or meters, etc.)	1 – 100+
W	Outer Width	feet (or meters, etc.)	1 – 100+
l	Inner Cutout Length	feet (or meters, etc.)	0 < l < L
w	Inner Cutout Width	feet (or meters, etc.)	0 < w < W
Area	Net L-Shape Area	square feet (or sq meters, etc.)	Positive

Practical Examples (Real-World Use Cases)

Example 1: L-Shaped Living Room

You have an L-shaped living room. The longest wall is 25 feet (Outer Length L), and the widest part is 20 feet (Outer Width W). The inner corner “cuts out” a section that is 10 feet long (l) and 8 feet wide (w).

• Outer Area = 25 ft × 20 ft = 500 sq ft
• Cutout Area = 10 ft × 8 ft = 80 sq ft
• Total Living Room Area = 500 sq ft – 80 sq ft = 420 sq ft

You would need 420 sq ft of flooring.

Example 2: Garden Plot

An L-shaped garden plot has outer dimensions of 15 feet by 12 feet, with a cutout of 6 feet by 5 feet.

• Outer Area = 15 ft × 12 ft = 180 sq ft
• Cutout Area = 6 ft × 5 ft = 30 sq ft
• Total Garden Area = 180 sq ft – 30 sq ft = 150 sq ft

You have 150 sq ft of space for planting.

How to Use This Square Footage of a 6 Sided Shape Calculator

1. Measure Dimensions: Carefully measure the outer length (L), outer width (W), inner cutout length (l), and inner cutout width (w) of your L-shaped area in feet. Ensure l is less than L and w is less than W.
2. Enter Values: Input these four measurements into the corresponding fields in the calculator.
3. View Results: The calculator automatically updates and displays the total square footage of the L-shaped area, along with the areas of the outer rectangle and the cutout. The chart and table also update.
4. Interpret: The “Total Area” is the square footage of your 6-sided L-shaped space. Use this for material estimates or space planning.

Key Factors That Affect Area Results

• Measurement Accuracy: The most critical factor. Small errors in measuring L, W, l, or w can lead to significant differences in the calculated area, especially for larger dimensions. Use a reliable tape measure and measure twice.
• Shape Definition: This calculator assumes a perfect L-shape formed by two rectangles. If your 6-sided shape is a more irregular hexagon, you might need to divide it differently (e.g., into triangles and rectangles) or use a more advanced irregular area calculator.
• Wall Thickness: When measuring rooms, decide whether you are measuring to the inside surface of the walls or including wall thickness, as this affects the usable area.
• Right Angles: The L-shape formula assumes the corners are right angles (90 degrees). If the angles are significantly different, the shape isn’t a simple L, and the area will be different.
• Units Used: Ensure all measurements are in the same unit (e.g., all in feet or all in meters). The result will be in the square of that unit.
• Obstructions: The calculation gives the total floor area. It doesn’t account for obstructions like columns or built-in furniture within the area unless you adjust the L, W, l, w measurements to exclude them.

Frequently Asked Questions (FAQ)

Q1: What if my 6-sided shape isn’t an L-shape?

A1: If your 6-sided shape is not an L-shape (e.g., a more general irregular hexagon), you’ll need to divide it into simpler shapes you can calculate, like triangles, rectangles, or trapezoids, and sum their areas. Our general area calculator might offer more options, or you might need a tool that uses coordinates.

Q2: How do I measure l and w accurately?

A2: Imagine the L-shape as part of a larger rectangle. ‘l’ and ‘w’ are the dimensions of the “missing” rectangular piece that would complete the larger rectangle. Measure the length and width of this missing corner.

Q3: Can I use this calculator for units other than feet?

A3: Yes, as long as you use the same unit for all four input dimensions (L, W, l, w), the result will be in the square of that unit (e.g., square meters if you input meters).

Q4: What if the cutout goes all the way through, making two separate rectangles?

A4: If, for example, l = L, then the shape is just two separate rectangles (or one if w also equals W, resulting in zero area via the formula, which is incorrect for two rectangles). This calculator is for when l < L and w < W, forming a single connected L-shape. For two separate rectangles, use a rectangle area calculator twice and add the results.

Q5: How accurate is this square footage of a 6 sided shape calculator?

A5: The calculation itself is exact based on the formula. The accuracy of the result depends entirely on the accuracy of your input measurements.

Q6: What if my shape has more or fewer than 6 sides?

A6: For shapes with fewer sides (like rectangles or triangles) or more sides, you’ll need different methods or calculators. A 4-sided room is usually a rectangle or square, and a room square footage calculator might be simpler. A 5-sided room often involves a triangle and a rectangle.

Q7: Can I calculate the area of a regular hexagon with this?

A7: No, this is not for regular hexagons, which have all sides and angles equal. A regular hexagon’s area is calculated with a different formula ( (3√3)/2 * side² ).

Q8: What if the “cutout” is not rectangular?

A8: If the inner corner is not a rectangle (e.g., it’s rounded or angled), this specific formula won’t be accurate. You’d need to approximate the cutout area or use more advanced methods.