Arithmetic Ability
Area

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Q.

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

View Answer

Correct choice: C

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 = sqrt([s(s−a)(s−b)(s−c)]) = sqrt([42(12)(28)(2)])= 168sq m area of parallelogram ABCD = 2 x 168 = 336 sq m
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