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Question
The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is ______.
Options
72 cm2
36 cm2
24 cm2
18 cm2
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Solution
The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is 36 cm2.
Explanation:
It is clear from the figure that, quadrilateral ABCD is a parallelogram. The diagonal AC of the given parallelogram ABCD divides it into two triangles of equal areas.
Area of the ΔABC = `1/2 xx "Base" xx "Height"`
= `1/2 xx 12 xx 3`
= 18 cm2
∴ Area of parallelogram ABCD = 2 × Area of ΔABC
= 2 × 18
= 36 cm2
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