6th Class
Mathematics
Mensuration
Question Bank
Mensuration Basics
question_answer
Find the area of the shaded region in the given figure of square ABCD.
A)\[100\,\,c{{m}^{2}}\]
B) \[50\,\,c{{m}^{2}}\]
C) \[60\,\,c{{m}^{2}}\]
D) \[120\,\,c{{m}^{2}}\]
Correct Answer:
B
Solution :
Area of shaded region = Area of square - Area of \[\left[ \Delta DEG+\Delta EAF+\Delta CFB \right]\] \[={{10}^{2}}-\left[ \frac{1}{2}\times 4\times 5+\frac{1}{2}\times 5\times 4+\frac{1}{2}\times 6\times 10 \right]\] \[=100-\left[ 10+10+30 \right]=100-50=50\,\,c{{m}^{2}}\]