Question

a company designs a logo using a kite figure around the letter t. the logo is 12 centimeters wide and 16 centimeters tall. what is the area of the logo? 48 sq. cm 96 sq. cm 144 sq. cm 192 sq. cm

Explanation:

Step1: Recall the formula for the area of a kite

The area formula of a kite is \(A=\frac{1}{2}d_1d_2\), where \(d_1\) and \(d_2\) are the lengths of the diagonals.

Step2: Identify the values of the diagonals

Given that the logo (kite) is 12 centimeters wide (\(d_1 = 12\) cm) and 16 centimeters tall (\(d_2=16\) cm).

Step3: Substitute the values into the formula

Substitute \(d_1 = 12\) and \(d_2 = 16\) into \(A=\frac{1}{2}d_1d_2\). Then \(A=\frac{1}{2}\times12\times16\).
First, calculate \(12\times16 = 192\). Then \(\frac{1}{2}\times192=96\).

Answer:

96 sq. cm