Quadrilateral Calculator
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Calculate Area, Perimeter, and Angles for Squares, Rectangles, and more
Calculate Area, Perimeter, and Angles for Squares, Rectangles, and more
The Quadrilateral Calculator is a comprehensive geometry tool designed to solve problems involving four-sided shapes. Whether you are a student learning geometry or a professional needing quick area and perimeter calculations, this tool handles squares, rectangles, rhombuses, parallelograms, trapezoids, and kites with precision.
Simply select your shape, input the known dimensions (sides, angles, or diagonals), and our calculator will instantly provide the Area, Perimeter, and other missing properties.
A quadrilateral is any polygon with four sides and four vertices. The method for calculating area depends entirely on the specific type of quadrilateral you are working with. Below are the formulas used by our calculator:
A square has four equal sides and four right angles.
Formula: Area = a²
Where 'a' is the length of one side.
A rectangle has opposite sides that are equal and parallel, with four right angles.
Formula: Area = length × width
A rhombus has four equal sides, but its angles are not necessarily 90 degrees.
Formula (using diagonals): Area = (d₁ × d₂) / 2
Where d₁ and d₂ are the lengths of the diagonals.
A parallelogram has opposite sides that are parallel and equal in length.
Formula: Area = base × height
A trapezoid (or trapezium) has at least one pair of parallel sides.
Formula: Area = ((b₁ + b₂) × h) / 2
Where b₁ and b₂ are the parallel bases and h is the height.
A kite has two pairs of equal-length sides that are adjacent to each other.
Formula: Area = (d₁ × d₂) / 2
Calculating geometry problems manually can be time-consuming and prone to errors, especially when dealing with complex shapes like trapezoids or irregular quadrilaterals. Our online geometry calculator simplifies this process by:
Understanding how to calculate area is essential for many real-life projects.
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a single circle. A key property is that its opposite angles are supplementary, meaning they add up to 180 degrees.
Generally, no. Knowing only the four sides is not enough to determine the area of a general quadrilateral because the shape is not rigid (it can "flex"). You usually need at least one angle or one diagonal to fix the shape's area. However, for specific shapes like a square or rectangle, fewer dimensions are needed.
The perimeter of any quadrilateral is simply the sum of the lengths of its four sides: Perimeter = a + b + c + d.
Yes, a square is a special type of rectangle where all four sides are of equal length. It is also a special type of rhombus.
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