In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm², then ar (||^gm FGBQ) =

(a) 12 cm²

(b) 20 cm²

(c) 24 cm²

(d) 36 cm²

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Solution

Given: (1) Area of parallelogram ABCD is equal to Area of parallelogram FECG.

(2) If Area of ΔAQE is 12cm.

To find: Area of parallelogram FGBQ

Calculation: We know that diagonal of a parallelogram divides the parallelogram into two triangles of equal area.

It is given that,

Hence the correct answer is option (c).

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