Calculate parallelogram area, perimeter, base, height, and side lengths with step-by-step geometric formulas.
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A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite interior angles are equal, and consecutive angles are supplementary (sum to 180°).
A = b \times h, \quad P = 2(a + b)Area is the product of the base and perpendicular height. Perimeter is twice the sum of adjacent sides a and b.
Scenario: Find area and perimeter for base b = 15 cm, height h = 8 cm, side a = 10 cm
Area: A = b × h = 15 × 8 = 120 cm²
Perimeter: P = 2 × (10 + 15) = 2 × 25 = 50 cm
The slant side is the actual edge of the shape, while height is the perpendicular (shortest) distance between parallel sides.
Yes, Area = a × b × sin(θ), where θ is the angle between sides a and b.
Yes, the two diagonals cross at their exact midpoints, though they are not generally equal in length.
Squares, rectangles, and rhombuses are all special types of parallelograms.
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