A parallelogram has sides 30m and 14m and one of its diagonals is 40m long Then its area is ........

Quantitative Aptitude ( CCS) Mensuration 2D

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A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

236

368

398

336

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Explanation:

let ABCD be the given parallelogram
area of parallelogram ABCD = 2 x (area of triangle ABC)
now a = 30m, b = 14m and c = 40m
s=1/2 x (30+14+40) = 42
Area of triangle ABC = √[s(s−a)(s−b)(s−c)]
= √[42(12)(28)(2)]= 168sq m
area of parallelogram ABCD = 2 x 168 = 336 sq m