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Question
In the adjoining figure; AB = 16 cm, DM = 4 cm and BC = 8 cm. Find the length of DN.
Sum
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Solution
Given:
AB = 16 cm
DM = 4 cm
BC = 8 cm
Step-wise calculation:
1. Area of parallelogram ABCD
= Base × Corresponding altitude
= AB × DM
= 16 × 4
= 64 cm2
2. The same area
= Other base × Its corresponding altitude
= BC × DN
Therefore, DN
= `"Area"/(BC)`
= `64/8`
= 8 cm
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