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?
A. $48 sq . cm$
B. $96 sq . cm$
C. 144 sq. cm
D. 192 sq. cm
Answer (1)
Recognize the logo as a kite shape.
Apply the formula for the area of a kite: A re a = 2 1 × d 1 × d 2 .
Substitute the given diagonal lengths: A re a = 2 1 × 12 × 16 .
Calculate the area: 96 s q . c m .
Explanation
Problem Analysis We are given that the logo is in the shape of a kite, with a width of 12 cm and a height of 16 cm. We need to find the area of the kite.
Area of a Kite The area of a kite is given by the formula: A re a = 2 1 d 1 d 2 where d 1 and d 2 are the lengths of the diagonals.
Identify Diagonals In this case, we can assume that the width and height of the logo correspond to the lengths of the diagonals of the kite. So, d 1 = 12 cm and d 2 = 16 cm.
Calculate the Area Now, we can calculate the area of the kite: A re a = 2 1 × 12 × 16 = 6 × 16 = 96 The area of the logo is 96 square centimeters.
Final Answer Therefore, the area of the logo is 96 square centimeters.
Examples
Kites are not just for fun; they're also used in various real-world applications, such as meteorology to carry instruments for weather data collection, in kite surfing, and even in architectural design for creating lightweight structures. Understanding the area calculation of a kite helps in designing efficient and stable kites for these purposes.
