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If E, F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, then ar(EFGH)
is equal to
- a)ar(ABCD)
- b)2 × ar(ABCD)
- c)1/2× ar(ABCD)
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If E, F,G and H are respectively the mid-points of the sides of a para...
The area of a parallelogram is equal to the product of its base and height.
Since E, F, G, and H are the midpoints of the sides of parallelogram ABCD, each of the sides of EFGH is half the length of the corresponding side of ABCD.
Therefore, the base of EFGH is half the length of the base of ABCD, and the height of EFGH is half the length of the height of ABCD.
Thus, the area of EFGH is equal to (1/2) * (1/2) = 1/4 times the area of ABCD.
Therefore, the answer is a) ar(ABCD).
Since E, F, G, and H are the midpoints of the sides of parallelogram ABCD, each of the sides of EFGH is half the length of the corresponding side of ABCD.
Therefore, the base of EFGH is half the length of the base of ABCD, and the height of EFGH is half the length of the height of ABCD.
Thus, the area of EFGH is equal to (1/2) * (1/2) = 1/4 times the area of ABCD.
Therefore, the answer is a) ar(ABCD).
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If E, F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, then ar(EFGH)is equal toa)ar(ABCD)b)2 × ar(ABCD)c)1/2× ar(ABCD)d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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