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Geometry
3.14 Problems on Parallelogram - II

  1. Example:
    Two adjacent sides of a parallelogram are 6 cm and 9 cm. Find its perimeter.

    Solution:
    We know that the opposite sides of a parallelogram are equal.
    Two of its sides are given by 6 cm and 9 cm.
    Therefore the rest of the sides will be of measure 6 cm and 9 cm.
    Hence the perimeter = The sum of all sides of the parallelogram = 6 + 9 + 6 + 9 = 30cm.

  2. Example:
    Two adjacent sides of a parallelogram is given by 'x' and '5x'. Find its perimeter.

    Solution:
    We know that the perimeter of a parallelogram is equal to the sum of its sides.
    Here two adjacent sides are of measure x and 5x.
    Since opposites sides of a parallelogram are equal then the remaining sides will be of
    measure x and 5x.
    Hence Perimeter = x + x + 5x + 5x = 12x units.


Directions: Read the above example carefully and answer the following questions:
  1. Two adjacent sides of a parallelogram are given by '5x' and '7x'. Find the perimeter of the parallelogram. Find the value of the perimeter when x = 2.
  2. Two adjacent sides of a parallelogram are given by '2x' and '3x'. Find the perimeter. Sketch the parallelogram and label it.
  3. Also write at least 10 examples of your own.

Q 1: Two adjacent sides of a parallelogram are 7 cm and 5 cm. Find its perimeter.
34 cm
24 cm
20 cm

Q 2: Two adjacent sides of a parallelogram are 4 cm and 7 cm. Find its perimeter.
42cm
22cm
20cm

Q 3: Two adjacent sides of a parallelogram are 3 cm and 5 cm. Find its perimeter.
15cm
26cm
16cm

Q 4: Two adjacent sides of a parallelogram are 9 cm and 4cm. Find its perimeter.
25 cm
26 cm
36 cm

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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