Calculations in English please

The area of a rectangle ($A$) is given by the formula:

$$A = \text{length} \times \text{width}$$

$$A = 72\, \text{cm}^2$$

The area of the rectangle is $\boxed{\text{72 cm}^2}$.

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The area of a triangle ($A$) is given by the formula:

$$A = \frac{1}{2} \times \text{base} \times \text{height}$$

$$A = 9\, \text{cm} \times 6\, \text{cm}$$ $$A = 54\, \text{cm}^2$$

The area of the triangle is $\boxed{\text{54 cm}^2}$.

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The area of a rhombus ($A$) is given by the formula:

$$A = \frac{1}{2} \times d_1 \times d_2$$

where $d_1$ and $d_2$ are the lengths of the diagonals.

$$A = \frac{1}{2} \times 192\, \text{cm}^2$$ $$A = 96\, \text{cm}^2$$

The area of the rhombus is $\boxed{\text{96 cm}^2}$.

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The area of a sector ($A$) is given by the formula:

$$A = \frac{\theta}{360^\circ} \times \pi r^2$$

where $\theta$ is the central angle and $r$ is the radius. We will use $\pi = \frac{22}{7}$.

$$A = \frac{1}{4} \times 22 \times 28\, \text{cm}^2$$ $$A = 1 \times 22 \times 7\, \text{cm}^2$$ $$A = 154\, \text{cm}^2$$

The area of the sector is $\boxed{\text{154 cm}^2}$.