Write the correct answer of the following: In Fig. if parallelogr… - Vidyadip

MCQ

Write the correct answer of the following: In Fig. if parallelogram $ABCD$ and rectangle $ABEF$ are of equal area, then:

A
Perimeter of $ABCD$ = Perimeter of $ABEM$.
B
Perimeter of $ABCD$ < Perimeter of $ABEM$.
✓
Perimeter of $ABCD$ > Perimeter of $ABEM$.
D
Perimeter of $ABCD$ $=\frac{1}{2}$ (perimeter of $ABEM$).

✓

Answer

Correct option: C.

Perimeter of $ABCD$ > Perimeter of $ABEM$.

If parallelogram $ABCD$ and rectangle $ABEM$ are of equal area, then perimeter of $ABCD$ > Perimeter of $ABEM$ because of all the line segments to a given line from a point outside it, the perpendicular is the least.

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