ABCD is a trapzium in which AB||CD. if E and F are joined in the middle of AB and CD find ar. ofABFE upon ar.of EFCD
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Clearly, EF=AB+
2
DC
=
2
a+b
Area of Trapezium =
2
1
(Sum of parallel sides)×h
Let h be the height as shown in figure, then
ar(Trap.ABFE):ar(Trap.EFCD)
⇒
2
1
[a+
2
a+b
]×h:
2
1
[b+
2
a+b
]×h
⇒
2
2a+a+b
:
2
2b+a+b
⇒ 3a+b:a+3b
Hence, this is the required ratio.
Step-by-step explanation:
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