Question
A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long, Then its area is :
Answer: Option B
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Let ABCD be the given parallelogram .
Area of parallelogram . ABCD = 2 x (area of `Delta` ABC)
Now, a = 30 m, b = 14 m, c = 40 m.
`:.` s = `1/2(30 + 14 + 40)` m = 42 m.
`:.` Area of `Delta` ABC = `sqrt(s(s - a) (s - b) (s - c))`
= `sqrt(42 xx 12 xx 28 xx 2) m^2` = 168` m^2`
Hence ,area of parallelogram .ABCD = (2 x 168)`m^2` = 336` m^2`
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