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 If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:
  • a)
    20 cm2
  • b)
    5 cm2
  • c)
    10 cm2
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the parallel sides of a parallelogram are 2 cm apart and their sum ...
use formula:1/2(sum of of parallel sides)(distance between them)
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Most Upvoted Answer
If the parallel sides of a parallelogram are 2 cm apart and their sum ...
Solution:

Given, the distance between the parallel sides of a parallelogram is 2 cm and their sum is 10 cm.

Let the length of the longer parallel side be x cm. Then, the length of the shorter parallel side is (10 - x) cm.

Area of the parallelogram = base x height

Here, base = length of the shorter parallel side = (10 - x) cm

Height = distance between the parallel sides = 2 cm

So, Area of the parallelogram = (10 - x) x 2 cm²

= 20 - 2x cm²

Therefore, the area of the parallelogram is 20 - 2x cm².

Option (d) none of these is the correct answer as the value of x is not given, so we cannot find the exact area of the parallelogram.
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Community Answer
If the parallel sides of a parallelogram are 2 cm apart and their sum ...
I think it is length× breadth as ||gm is also a rectangle .so if we put the numerical values then it is 2×10/2 10/2 because it is the sum and the sides are equal then it is 10cm²
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If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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