shape
Rectangle Area Calculator
Calculate the area of a rectangle from length and width with step-by-step formula display and unit conversions.
A = l × w
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Try an Example
Pick a scenario to see how the calculator works, then adjust the values
Living Room Floor
A 5 m × 3 m rectangular living room.
Key values: 5 m · 3 m · 15 m²
Garden Bed
A 4 m × 1.5 m rectangular raised garden bed.
Key values: 4 m · 1.5 m · 6 m²
Rectangle Area
where is the length and is the width. The rectangle is the simplest shape for area calculation — the formula matches our intuition of “rows × columns.”
Maximum Area for Fixed Perimeter
Among all rectangles with a given perimeter , the square has the largest area. If , the maximum area is achieved by a 10×10 square (), not a 15×5 rectangle ().
Frequently Asked Questions
How do I calculate the area of a rectangle?
Multiply the length by the width: . For example, a m rectangle has an area of 15 m². Both measurements must be in the same unit.
What is the difference between area and perimeter of a rectangle?
Area measures the space inside the rectangle (in square units), calculated as . Perimeter measures the total distance around the outside (in linear units), calculated as . A rectangle has area 15 but perimeter 16.
How do I find the diagonal of a rectangle?
Use the Pythagorean theorem: . For example, a rectangle has diagonal . The diagonal is always longer than either side.
Which rectangle shape gives the most area for a fixed perimeter?
A square. Among all rectangles with the same perimeter, the square encloses the maximum area. For example, with perimeter 40: a square gives area 100, while a rectangle gives only 75.
How much extra flooring should I order for a rectangular room?
Order 10% more than the calculated area to account for cuts, waste, and future repairs. If the room is 15 m², order materials for 16.5 m². For diagonal or herringbone patterns, add 15-20% instead.
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