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Question

If ABCD is a rectangle, E,F are the mid-points of BC and AD respectively and G is any point on EF, then GAB equals.
  1. 12(ABCD)
  2. 14(ABCD)
  3. 13(ABCD)
  4. 16(ABCD)

A
16(ABCD)
B
14(ABCD)
C
12(ABCD)
D
13(ABCD)
Solution
Verified by Toppr

Given that E and F are mid-points of BC and AD respectively.
ar(ABFE)=12ar(ABCD)[ E and F are mid points of BC and AD respectively]
ar(GAB)=12ar(ABFE)[ Area of triangle is half of area of rectangle on the same base and between the same parallels]
=12×12ar(ABCD)
=14ar(ABCD)

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