Q81
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?
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
AnswerC.
8
D.
16
Answer: Option B
Solution
Answer: Option B
Solution:
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 = × 6√2 × 5√2 = 30
Area of triangle EFG = (3√2)2 = 18
Area of shaded region = 30 - 18 = 12