Area of Trapezoid given Perimeter and Both Legs Calculator

Calculate Area









Formula

The formula to calculate the Area of a Trapezoid is:

\[ A = \frac{(P - (L_{\text{Short}} + L_{\text{Long}})) \cdot h}{2} \]

Definition

The area of a trapezoid is the total quantity of plane enclosed by its boundary. The perimeter is the total length of all the boundary lines. The short leg is the shorter side among the pair of non-parallel and opposite sides, and the long leg is the longer side among the pair of non-parallel and opposite sides. The height is the perpendicular distance between the pair of parallel sides.

Example Calculation

Let's assume the following values:

Using the formula:

\[ A = \frac{(40 - (9 + 11)) \cdot 8}{2} = 80 \]

The Area is 80 Square Meters.

Conversion Chart

Perimeter (Meters) Short Leg (Meters) Long Leg (Meters) Height (Meters) Area (Square Meters)
38 9 11 8 72.000000000000000
40 9 11 8 80.000000000000000
42 9 11 8 88.000000000000000