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Geometry
4.30 Perimeter of the Trapezoid

Example:
The sides of a Trapezoid ABCD are 15 cm, 9 cm, 12 cm and 8 cm. Find its perimeter.

Solution:
Perimeter of the Trapezoid (P) = S1 + S2 + S3 + S4
Where P is the perimeter of the Trapezoid and S1, S2, S3 and S4 are the sides of the trapezoid.
Given that,
S1 = 15 cm, S2 = 9 cm, S3 = 12 cm and S4 = 8 cm
P = 15 + 9 + 12 + 8
P = 44 cm.


Directions: Read the above example carefully and answer the following questions. Also draw 10 different trapezoids and find their perimeters.
Q 1: The sides of a Trapezoid ABCD are x units, y units, z units and w units. Find its perimeter.
(x + y + z)w units
(x + z + w) units
xyzw units
(x +y +z +w) units

Q 2: The sides of a Trapezoid ABCD are (x + 2) cm, (x + 3) cm, (x + 5) cm and (x + 8) cm. Find x if its perimeter is given by 50 cm.
3 cm
2 cm
4 cm
1 cm

Q 3: The sides of a Trapezoid ABCD are 4 cm, 5 cm, 7 cm and 8 cm. Find its perimeter.
24 cm
18 cm
20 cm
12 cm

Q 4: The sides of a Trapezoid ABCD are 115/3 cm, 154/5 cm and 189/7 cm. Find the remaining side if its perimeter is given by 112.24 cm.
156/11 cm
115/3 cm
112/5 cm
145/9 cm

Q 5: The sides of a Trapezoid ABCD are 6 cm, 7 cm, 9 cm and 9 cm. Find its perimeter.
41 cm
21 cm
31 cm
35 cm

Q 6: The sides of a Trapezoid ABCD are 133.25 cm, 122.75 cm and 165.75 cm. Find the remaining side if its perimeter is given by 562 cm.
140.25 cm
140.75 cm
142.25 cm
143.25 cm

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Question 8: This question is available to subscribers only!


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