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Area of Trapezium Worksheet

Calculate the area of trapeziums using the formula and given dimensions.

Grade 7 Math GeometryArea of Trapezium
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryareatrapeziumgrade 7
6 sections · Free to use · Printable
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Area of Trapezium

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Read each question carefully and calculate the area of the trapeziums. Remember the formula for the area of a trapezium is A = ½ × (a + b) × h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the perpendicular height.

1. Calculate the area of the trapezium shown below.

8 cm20 cm10 cm

Show your work:

2. A trapezium has parallel sides of length 12 cm and 18 cm. The perpendicular height between them is 7 cm. What is the area of the trapezium?

3. The formula for the area of a trapezium is A =   × (a + b) × h.

4. In the formula, 'a' and 'b' represent the lengths of the   sides.

5. The 'h' in the formula stands for the   height.

6. Which of the following shapes is a trapezium?

a
b
c
d

7. If the area of a trapezium is 40 cm² and its parallel sides are 6 cm and 10 cm, what is its perpendicular height?

a

4 cm

b

5 cm

c

8 cm

d

10 cm

8. A garden bed is shaped like a trapezium with parallel sides measuring 5 meters and 9 meters. The perpendicular distance between these sides is 4 meters. What is the area of the garden bed?