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Question
Ratio of area of ∆MNO to the area of parallelogram MNOP in the same figure is ______.
Options
2:3
1:1
1:2
2:1
Solution
Ratio of area of ∆MNO to the area of parallelogram MNOP in the same figure is 1:2.
Explanation:
Area of ∆MNO:Area of parallelogram MNOP
= `1/2` × Base × Height:Base × Corresponding height
= `1/2` × NO × OQ:MP × OQ
= `1/2` × NO:NO ......[∵ NO = MP]
= 1:2
Hence, the required ratio is 1:2.
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