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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
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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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