Trapezoid

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the bases.

Formulas for Trapezoid

The area of a trapezoid can be calculated using the formula:

Area = (1/2) * (sum of bases) * (height)

The perimeter of a trapezoid is the sum of all its sides:

Perimeter = base1 + base2 + leg1 + leg2

Properties of Trapezoid

1. A trapezoid has exactly one pair of parallel sides.
2. The angles at the base of a trapezoid are supplementary.
3. The diagonals of a trapezoid divide it into two triangles.

Practice Problems

1. Calculate the area of a trapezoid with bases of length 5 and 7 units and a height of 4 units.
Answer: Area = (1/2) * (5 + 7) * 4 = 24 square units

2. Find the perimeter of a trapezoid with base1 = 8, base2 = 6, leg1 = 5, and leg2 = 4 units.
Answer: Perimeter = 8 + 6 + 5 + 4 = 23 units

3. Given a trapezoid with a base1 of length 10, base2 of length 14, and a height of 6, find the area.
Answer: Area = (1/2) * (10 + 14) * 6 = 72 square units

Summary

In summary, a trapezoid is a quadrilateral with one pair of parallel sides. You can calculate its area and perimeter using the formulas provided. Remember the properties of trapezoids and practice solving problems to master this topic!