1.

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is(a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

Answer»

The correct answer is option (B) 36 cm2

Explanation:

From the given figure, it is clear that, a quadrilateral ABCD is a parallelogram. Here, the diagonal AC divides the parallelogram into two equal triangles.

Hence, the area of a triangle ABC = (1/2) bh

Here, b = 12 and h = 3

= (1/2) (12)(3)

= 18

Therefore, the area of a parallelogram ABCD = 2 (18) = 36 cm2



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