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MCQ
Fill in the Blanks
In figure if parallelogram ABCD and rectangle ABEF are of equal area, then ______.
Options
Perimeter of ABCD = Perimeter of ABEM
Perimeter of ABCD < Perimeter of ABEM
Perimeter of ABCD > Perimeter of ABEM
Perimeter of ABCD = `1/2` (Perimeter of ABEM)
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Solution
In figure if parallelogram ABCD and rectangle ABEF are of equal area, then perimeter of ABCD > Perimeter of ABEM.
Explanation:
If parallelogram ABCD and rectangle ABEF are of equal area then perimeter of ABCD > Perimeter of ABEM because:
As we know that, the perpendicular distance between two parallel sides of a parallelogram is always less than the length of the other parallel sides.
BE < BC and AM < AD.
Concept: Corollary: A rectangle and a parallelogram on the same base and between the same parallels are equal in area.
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