TRAPEZOID
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
Video Examples: Geometry - Trapezoids
Solved Example on Trapezoid
Ques: 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 m2
B. 72 m2
C. 68 m2
D. 74 m2
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 = 1/2 × (base × height) [Formula.]
Step 4: Area of the triangle ABF = 1/2× (3 × 8) = 12 m2 [Substitute and simplify.]
Step 5: Area of the triangle CED =1/2 × (3 × 8) = 12 m2 [Substitute and simplify.]
Step 6: Area of the rectangle BCEF = 6 × 8 = 48 m2 [Area of the rectangle = length × width.]
Step 7: So, the area of the flowerbed = 48 + 12 + 12 = 72 m2
Quick Summary
- A trapezoid has one pair of parallel sides, called bases.
- The non-parallel sides are called legs.
- The height is the perpendicular distance between the bases.
- Area of a trapezoid = 1/2 * (sum of parallel sides) * height.
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate the concept of trapezoids. Emphasize the difference between trapezoids and other quadrilaterals. Provide plenty of practice problems for students to apply the area formula.🎓 Prerequisites
- Quadrilaterals
- Parallel Lines
- Area of Rectangles and Triangles
Check Your Knowledge
Q1: A trapezoid has bases of length 12 cm and 6 cm, and a height of 8 cm. What is its area?
Q2: Which of the following is NOT a property of a trapezoid?
Frequently Asked Questions
Q: What is the difference between a trapezoid and an isosceles trapezoid?
A: A trapezoid has one pair of parallel sides. An isosceles trapezoid is a trapezoid where the non-parallel sides (legs) are congruent.
Q: How do you find the area of a trapezoid?
A: The area of a trapezoid is calculated using the formula: Area = 1/2 * (base1 + base2) * height.