Mastering Trapezoid Properties: Area And Perimeter Formulas Explained

Trapezoid

a quadrilateral with only ONE PAIR of parallel sides

A trapezoid is a quadrilateral with two parallel sides (bases) of different lengths. The non-parallel sides are called legs, and the distance between the two parallel sides is called the height. The formula to calculate the area of a trapezoid is:

Area = (sum of bases) x height / 2

If the trapezoid is isosceles, meaning that the legs are of equal length, then the formula for area simplifies to:

Area = base x height / 2

To find the perimeter of a trapezoid, add up the lengths of all four sides. If the trapezoid is isosceles, meaning that the legs are of equal length, then the formula for perimeter simplifies to:

Perimeter = 2 x base + 2 x leg

It’s important to note that a trapezoid is different from a parallelogram, which is also a quadrilateral with two pairs of parallel sides. In a parallelogram, opposite sides are equal in length and opposite angles are equal in measure. In a trapezoid, however, the two bases are of different lengths and the angles are not necessarily equal.

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