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.

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 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 =  × (base × height)                  [Formula.]
Step 4: Area of the triangle ABF =  × (3 × 8) = 12 m2      [Substitute and simplify.]
Step 5: Area of the triangle CED =  × (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. 

Related Terms for Trapezoid

  • Quadrilateral
  • Four-sided
  • Parallel lines
  • Sides