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

This question belongs to Arithmetic Ability Mensuration 2D
Mensuration 2D
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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?
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Answer & Solution
Correct Answer: Option B
Mensuration 2D mcq question image
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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