To determine the area of the kite-shaped logo, we need to use the area formula for a kite. The formula for the area of a kite is:
[tex]\[ \text{Area} = \frac{1}{2} \times d_1 \times d_2 \][/tex]
where [tex]\( d_1 \)[/tex] and [tex]\( d_2 \)[/tex] are the lengths of the diagonals of the kite.
In this case, we are given the width and the height of the kite, which are the diagonals of the kite:
- [tex]\( d_1 \)[/tex] (width) is 12 centimeters.
- [tex]\( d_2 \)[/tex] (height) is 16 centimeters.
Now, we substitute these values into the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times 12 \text{ cm} \times 16 \text{ cm} \][/tex]
Carrying out the multiplication and division:
[tex]\[ \text{Area} = \frac{1}{2} \times 192 \text{ cm}^2 \][/tex]
[tex]\[ \text{Area} = 96 \text{ cm}^2 \][/tex]
Therefore, the area of the logo is [tex]\( 96 \)[/tex] square centimeters.
So, the correct answer is:
[tex]\[ 96 \text{ sq. cm} \][/tex]
