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Areas of Triangles, Parallelograms and Trapezia

In this worksheet, students find the areas of triangles, parallelograms and trapezia.

Key stage:  KS 3

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Derive and Apply Formulae

Difficulty level:  

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QUESTION 1 of 10

In this worksheet, we will find the areas of triangles, parallelograms and trapezia.

You should already know the formulae for finding the areas of triangles and parallelograms.

 

Area of parallelogram = base x height

 

Area of triangle = ½ base x height

 

Area of trapezium = Average of parallel sides x height

 

Example

 

Find the area of this shape?

Area of trapezium = ½ ×(3 + 12) × 10 = 7½ x 10 = 75 sq. units

Find the area of this trapezium.

(Just write the number for the whole of this worksheet)

Find the area of this trapezium.

Find the area of this trapezium.

Find the area of this shape.

Find the area of this shape.

Find the area of this shape.

Find the area of this trapezium.

Find the area of this shape.

Find the area of this shape.

Find the area of this shape.

  • Question 1

Find the area of this trapezium.

(Just write the number for the whole of this worksheet)

CORRECT ANSWER
48
  • Question 2

Find the area of this trapezium.

CORRECT ANSWER
28
  • Question 3

Find the area of this trapezium.

CORRECT ANSWER
44
  • Question 4

Find the area of this shape.

CORRECT ANSWER
51
  • Question 5

Find the area of this shape.

CORRECT ANSWER
75
  • Question 6

Find the area of this shape.

CORRECT ANSWER
98
  • Question 7

Find the area of this trapezium.

CORRECT ANSWER
22
  • Question 8

Find the area of this shape.

CORRECT ANSWER
25
  • Question 9

Find the area of this shape.

CORRECT ANSWER
9
  • Question 10

Find the area of this shape.

CORRECT ANSWER
36
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