Answer: The correct option is third. The area of the figure is 25 cm square.
Explanation:
It is given that Each small square on the grid is 1 cm².
In the given figure there are 2 congruent parallelograms and 4 congruent triangles. As shown in figure below.
From the figure it is noticed that the length and breadth of the parallelogram is 4 and 3 respectively.
Area of the parallelogram,
[tex]A=length\times breadth[/tex]
[tex]A=4\times 3=12[/tex]
Area of a parallelogram is 12 cm². So, the area of 2 parallelogram is
[tex]12\times 2=24[/tex]
The height of the triangle is 0.25 and the base of the each triangle is 2.
Area of a triangle is,
[tex]A=\frac{1}{2} \times base \times height[/tex]
[tex]A=\frac{1}{2} \times 2 \times 0.25=0.25[/tex]
Area of one triangle is 0.25 cm², so the area of 4 triangles are 1 cm².
Total Area of the figure is,
[tex]Area=24+1=25[/tex]
Therefore, the total area is 25 cm².
