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Step 1: Area of rectangle using the base of the figure: 3 cm² x 4 cm² = 12 cm²

Step 2: Area of unshaded triangle on the left: $\frac{1}{2}$ x 3 x 3 = 4.5 cm²

Step 3: Area of small unshaded triangle: $\frac{1}{2}$ x 1 x 1 = 0.5 cm²

Step 4: Area of shaded figure: 12 cm² - 4.5 cm² - 0.5 cm² = 7 cm²

The area of the shaded figure is 7 cm².

Step 1: Area of the whole grid: 7 cm x 6 cm = 42 cm²

Step 2: Number of unshaded half 1 cm² squares = 10

Step 3: Number of unshaded squares = 12

Step 4: Area of figure: 42 cm² - 12 cm² - ($\frac{1}{2}$ x 10) cm² = 25 cm²

The area of the shaded figure is 25 cm².

Step 1: Area of one small square: 1 x 1 = 1 cm²

Step 2: Number of 1 cm² square =  5

Step 3: Number of half shaded 1 cm² square = 2

Step 4: Area of half shaded square: $\frac{1}{2}$ x 1 x 1  = 0.5 cm²

Step 5: Area of right angle triangle on the left: $\frac{1}{2}$ x 3 x 3 = 4.5 cm²

Step 6: Area of right angle triangle on the right: $\frac{1}{2}$ x 1 x 2 = 1 cm²

Step 7: Area of shaded figure: 5 cm² + (2 x 0.5 cm²) + 4.5 cm² + 1 cm² = 11. 5 cm²

The area of the shaded figure is 11.5 cm².

Step 1: Area of rectangle around figure: 5 cm² x 4 cm2 = 20 cm²

Step 2: Number of unshaded 1 cm² squares in the rectangle = 1

Step 3: Area of unshaded small triangle: $\frac{1}{2}$ x 1 x 1 = 0.5 cm²

Step 4: Area of unshaded medium triangle: $\frac{1}{2}$ x 1 x 2 = 1 cm²

Step 5: Number of small triangles = 6

Step 6: Number of medium triangle = 2

Step 7: Area of figure: 20 cm² - (6 x 0.5) cm² - (2 x 1) cm² -1cm² = 14 cm²

The area of the shaded figure is 14 cm².

Step 1: Area of one small square: 1 x 1 = 1 cm²

Step 2: Number of 1 cm²  =  10

Step 3: Number of half shaded 1 cm² square = 2

Step 4: Area of half shaded square: $\frac{1}{2}$ x 1 x 1  = 0.5 cm²

Step 5: Area of shaded figure: 10 cm² + (2 x 0.5 cm²) = 11 cm²

The area of the shaded figure is 11 cm².

Step 1: Area of unshaded figure: 4 cm² x 3 cm² = 12 cm²

Step 2: Area of triangle: $\frac{1}{2}$ x 4 x 1 = 2 cm²

Step 3: Number of triangles = 2

Step 4: Area of shaded figure = 12 cm² - (2 x 2) cm² = 8 cm²

The area of the shaded figure is 8 cm².

Step 1: Area of one small square: 1 x 1 = 1 cm²

Step 2: Number of 1 cm²  =  8

Step 3: Number of half shaded 1 cm² square = 2

Step 4: Area of half shaded square: $\frac{1}{2}$ x 1 x 1  = 0.5 cm²

Step 5: Area of shaded figure: 8 cm² + (2 x 0.5 cm²) = 9 cm²

The area of the shaded figure is 9 cm².

Step 1: Area of one small square: 1 x 1 = 1 cm²

Step 2: Number of 1 cm²  = 18

Step 3: Number of half shaded 1 cm² square = 2

Step 4: Area of half shaded square: $\frac{1}{2}$ x 1 x 1  = 0.5 cm²

Step 5: Area of shaded figure: 18 cm² + (2 x 0.5 cm²) = 19 cm²

The area of the shaded figure is 19 cm².

Step 1: Area of one small square: 1 x 1 = 1 cm²

Step 2: Number of 1 cm²  =  10

Step 3: Number of half shaded 1 cm² square = 3

Step 4: Area of half shaded square: $\frac{1}{2}$ x 1 x 1  = 0.5 cm²

Step 5: Area of shaded figure: 10 cm² + (3 x 0.5 cm²) = 11.5 cm²

The area of the shaded figure is 11.5 cm².

Step 1: Area of smallest square with the base of the figure: 4 x 4 = 16cm²

Step 2: Area of figure: 16cm² - ($\frac{1}{2}$ x 3 x 1)cm² - ($\frac{1}{2}$ x 3 x 1)cm² - (2 x $\frac{1}{2}$)cm² = 12 cm²

The area of the shaded figure is 12 cm².