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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
4.12 Area of a Trapezoid - II

Example:
The lengths of the parallel sides of a trapezoid are 9 cm and 7cm. Its area is 18 sq cm. Find the distance between the parallel lines.

Solution:
The area of a trapezoid is (A ) =1/2 * (a+b) * h.
Given that,
a = 9 cm, b = 7 cm and A = 18 sq cm.
h = 2A/(a+b)
h = (2*18)/(9+7)
h = 36/16
h = 2.25 cm.
\ The distance between the parallel lines = 2.25 cm.


Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own.

Q 1: One of the lengths of the parallel side of a trapezoid is 16 cm. Its area is 66 sq cm and the distance between the parallel lines is given by 4 cm. Find the length of the other parallel side.
17 cm
14.5 cm
16 cm
18.5 cm

Q 2: The lengths of the parallel sides of a trapezoid are 17 cm and 15 cm. Its area is 192 sq cm. Find the distance between the parallel lines.
12 cm
15 cm
18 cm
25 cm

Q 3: The lengths of the parallel sides of a trapezoid are 15.25 cm and 13.75 cm. Its area is 188.50 sq cm. Find the distance between the parallel lines.
14 cm
13.5 cm
12.5 cm
13 cm

Q 4: One of the lengths of the parallel side of a trapezoid is 17 cm. Its area is 120 sq cm and the distance between the parallel lines is given by 7.5 cm. Find the length of the other parallel side.
9 cm
8.5 cm
10 cm
15 cm

Q 5: The lengths of the parallel sides of a trapezoid are 18cm and 16cm. The distance between the parallel lines is given by 6 cm. Find its area.
200 sq cm
185 sq cm
125 sq cm
102 sq cm

Q 6: The lengths of the parallel sides of a trapezoid are a cm and b cm. Its area is (ac + bc)/2 sq cm. Find the distance between the parallel lines.
b cm
ac cm
a cm
c cm

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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