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.
12(□ABCD)
14(□ABCD)
13(□ABCD)
16(□ABCD)
A
16(□ABCD)
B
14(□ABCD)
C
12(□ABCD)
D
13(□ABCD)
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Solution
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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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