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A company designs a logo using a kite figure.

The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?

A. 48 cm²
B. 96 cm²
C. 144 cm²
D. 192 cm²


Sagot :

To find the area of a kite, you can use the formula for the area, which is given by:

[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 problem, the width of the logo represents one diagonal ([tex]\( d_1 \)[/tex]) and is 12 centimeters, while the height of the logo represents the other diagonal ([tex]\( d_2 \)[/tex]) and is 16 centimeters.

Plugging these values into the formula, you get:

[tex]\[ \text{Area} = \frac{1}{2} \times 12 \, \text{cm} \times 16 \, \text{cm} \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 192 \, \text{cm}^2 \][/tex]

[tex]\[ \text{Area} = 96 \, \text{cm}^2 \][/tex]

Thus, the area of the logo is [tex]\( 96 \, \text{cm}^2 \)[/tex].

So, the correct answer is:

[tex]\[ \boxed{96 \, \text{sq. cm}} \][/tex]