The figure ABCD below is a kite. The diagonals AC = 12cm and BD = 7cm. Calculate the area of the kite.

The area of a kite is given by the formula:

$$\text{Area} = \frac{1}{2} \times d_1 \times d_2$$

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

Given diagonals are $AC = 12 \text{ cm}$ and $BD = 7 \text{ cm}$.
Let $d_1 = 12 \text{ cm}$ and $d_2 = 7 \text{ cm}$.

$$\text{Area} = \frac{1}{2} \times 12 \text{ cm} \times 7 \text{ cm}$$

$$\text{Area} = 6 \times 7 \text{ cm}^2$$ $$\text{Area} = 42 \text{ cm}^2$$

The area of the kite is $\text{42 cm}^2$.