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 = � (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

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