Question

shaded region. 2. 4. 1 unit 1 unit

Explanation:

Step1: Count full - squares for first shape

For the first (green - shaded) shape, count the full - unit squares. There are 24 full - unit squares.

Step2: Count full - squares for second shape

For the second (purple - shaded) star - shaped figure, we can divide it into smaller right - angled triangles and squares. The star can be thought of as composed of 4 isosceles right - angled triangles and a central square. Each of the 4 isosceles right - angled triangles has an area of 2 square units (since the base and height of each triangle are 2 units, and the area of a triangle is $A=\frac{1}{2}bh=\frac{1}{2}\times2\times2 = 2$ square units), and the central square has an area of 4 square units. So the total area is $4\times2 + 4=12$ square units.

Answer:

The area of the first shaded region is 24 square units and the area of the second shaded region is 12 square units.