In the given figure ABCD and BEFG are squares of sides...

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In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm respectively, what is the area (in cm²) of the shaded region?

A. 14

B. 12

C. 8

D. 16

Answer: Option B

Solution (By Examveda Team)

Diagonal of square ABCD = 8√2
Diagonal of square EBGF = 6√2
Height of triangle EDG = 8√2 - 3√2 = 5√2
Area of triangle EDG = $$\frac{1}{2}$$ × 6√2 × 5√2 = 30
Area of triangle EFG = (3√2)² = 18
Area of shaded region = 30 - 18 = 12

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