Question

Calculate the area of the shaded region of the following figure. $ABCD$ is a rectangle having length $30cm$, breadth $20cm$. $E,F$ and $G$ are midpoints of $AB,CD$ and $AD$ respectively.

• A. $400c{m}^2$
• B. $450c{m}^2$
• C. $375c{m}^2$
• D. $325c{m}^2$

Answer 1

The correct option is B $450c{m}^2$

Area of shaded region $=$ Area of rectangle $-$ Area of both triangles

A${}_1=$ Area of rectangle $=30\times 20=600c{m}^2$

A${}_2=$ Area of triangle $△GDF=75c{m}^2$

A${}_3=$ Area of triangle $△GAE=75c{m}^2$

Area of shaded region $=600-75-75=450c{m}^2$