Answer: The correct option is option third, i.e.,25 cm square.
Explanation:
From the given figure it is easily noticed that the shaded region contains two congruent parallelograms and 4 congruent triangles.
Area of a parallelogram is the product of base and height.
[tex]\text{Area of a parallelogram}=4\times 3=12[/tex]
The area of a parallelogram is 12 cm square.
Area of a triangle is half of the product of base and height.
[tex]\text{Area of a triangle}=\frac{1}{2}\times 2\times 0.25=0.25[/tex]
The area of a triangle is 0.25 cm square.
Since there are 2 parallelograms and 4 triangles in the figure, therefore the total area is,
[tex]A=2(12)+4(0.25)[/tex]
[tex]A=24+1=25[/tex]
Therefore, the area of figure is 25 cm square and the third option is correct.
