How to Calculate the Area of a Company Logo
What is the area of one rhombus in a company's logo?
A. 2.5 square inches
B. 3.75 square inches
C. 4.25 square inches
D. 1.875 square inches
What is the total area of the entire logo composed of 5 congruent rhombi?
A. 2.5 square inches
B. 3.75 square inches
C. 4.25 square inches
D. 9.375 square inches
Answer:
The area of one rhombus is 1.875 square inches.
The area of the entire logo is 9.375 square inches.
The area of one rhombus can be calculated using the formula for the area of a rhombus, which is half the product of its diagonals. In this case, the horizontal diagonal is 1.5 inches and the vertical diagonal is 2.5 inches.
So, the area of one rhombus is (1.5 inches * 2.5 inches) / 2 = 1.875 square inches. Since the logo is composed of 5 congruent rhombi, the area of the entire logo will be 5 times the area of one rhombus.
Therefore, the area of the entire logo is 5 * 1.875 = 9.375 square inches. So, the correct answers are D. 1.875 square inches for the area of one rhombus and D. 9.375 square inches for the total area of the entire logo.