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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.

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

Step 2: Number of unshaded triangles in the rectangle = 4

Step 3: Number of unshaded squares in the rectangle = 4

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

Step 5: Area of shaded figure: 20 cm² - (4 x 0.5) cm² - 4 cm² = 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  =  8

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

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 2 x 1 = 1

Step 6: Area of right angle triangle on the right: $\frac{1}{2}$ x 3 x 1 = 1.5 cm²

Step 7: Area of shaded figure: 8 cm² + 0.5 cm² + 1 cm² + 1.5 cm²  = 11 cm²

The area of the shaded figure is 11 cm².

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

Step 2: Number of 1 cm²  =  14

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

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

Step 5: Area of shaded figure: 14 cm² + (1 x 0.5 cm²) = 14 $\frac{1}{2}$ cm²

The area of the shaded figure is 14 $\frac{1}{\mathrm{2 }}$cm².

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

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

Step 3: Number of triangles = 6

Step 4: Area of shaded figure: 20 cm² - (6 x 1) cm² = 14 cm²

The area of the shaded figure is 14 cm².

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

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

Step 3: Number of unshaded 1 cm² squares in the rectangle = 2

Step 4: Number of triangles = 10

Step 5: Area of figure: 20 cm² - 5 cm² - 2 cm² = 13 cm²

The area of the shaded figure is 13 cm².

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

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

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

Step 4: Area of figure: 20 cm² - 3 cm² - 3 cm² = 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  =  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 square using the shaded fugure base = 5 cm² x 4 cm² = 20cm² 

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

Step 3: Number of unshaded right angle triangle: 5

Step 4: Area of shaded figure: 20 cm² - (5 x 1) cm² =  15 cm²

The area of the shaded figure is 15 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.