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Area of Trapezium Worksheet

Grade 10 Math worksheet covering the calculation of the area of trapeziums with various dimensions and applications.

Grade 10 Math GeometryArea of Trapezium
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

MathGeometryTrapeziumAreaGrade 10
7 sections · Free to use · Printable
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Area of Trapezium

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Read each question carefully and show all your work. Use the formula for the area of a trapezium: A = 1/2 * (a + b) * h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the perpendicular height.

1. Which of the following is the correct formula for the area of a trapezium?

a

A = (a + b) * h

b

A = 1/2 * a * b * h

c

A = 1/2 * (a + b) * h

d

A = 2 * (a + b) * h

2. A trapezium has parallel sides of length 8 cm and 12 cm, and a height of 5 cm. What is its area?

a

60 cm²

b

50 cm²

c

100 cm²

d

25 cm²

3. The two parallel sides of a trapezium are often referred to as the  .

4. The perpendicular distance between the parallel sides of a trapezium is called its  .

5. Calculate the area of the trapezium shown below.

30 cm20 cm10 cm

6. A field is in the shape of a trapezium. The lengths of its parallel sides are 45 meters and 65 meters, and the perpendicular distance between them is 30 meters. Find the area of the field.

7. All trapeziums have at least one pair of parallel sides.

T

True

F

False

8. The area of a trapezium can be calculated by multiplying the sum of the parallel sides by the height.

T

True

F

False

Match the term with its definition.

9. Parallel sides

 

a. The distance between the parallel sides

10. Height

 

b. The non-parallel sides of a trapezium

11. Legs

 

c. The two sides that never intersect