**Definition of Trapezoid**

- The trapezoid has 2 sides that are parallel lines.
- Trapezoid is a quadrilateral with only one pair of parallel sides.

**Examples of Trapezoid**

- The regular shape of a trapezoid.

**Solved Example on Trapezoid**

A trapezoidal flowerbed has parallel sides of lengths 12 m and 6 m. Find the area of the flowerbed, if its height is 8 m.

Choices:

A. 76 m^{2}

B. 72 m^{2}

C. 68 m^{2}

D. 74 m^{2}

Correct Answer: B

Solution:

Step 1:Flowerbed is in the form of a trapezium.

Step 2:Area of the trapezoid ADEF = Area of the triangle ABF + Area of the triangle CDE + Area of the rectangle BCEF.

Step 3:Area of the triangle = × (base × height) [Formula.]

Step 4:Area of the triangle ABF = × (3 × 8) = 12 m^{2 }[Substitute and simplify.]

Step 5:Area of the triangle CED = × (3 × 8)=12 m^{2 }[Substitute and simplify.]

Step 6:Area of the rectangle BCEF = 6 × 8 = 48 m^{2}[Area of the rectangle = length × width.]

Step 7:So, the area of the flowerbed = 48 + 12 + 12 = 72 m^{2}.

**Related Terms for Trapezoid**

- Quadrilateral
- Four-sided
- Parallel lines
- Sides