Final answer:
The area of the club logo is 28cm². To find the area, calculate the areas of the square and the trapezium separately, and then add them together.
Step-by-step explanation:
To calculate the area of the club logo, we need to find the areas of the square and the trapezium separately, and then add them together.
Step 1: Calculate the area of the square. Since it has a side length of 4cm, the area is given by the formula: area = side length x side length = 4cm x 4cm = 16cm².
Step 2: Calculate the area of the trapezium. The formula for the area of a trapezium is: area = height x (sum of the parallel sides) / 2. In this case, the height is 2cm, and the sum of the parallel sides is 4cm + 8cm = 12cm. So, the area of the trapezium is: area = 2cm x 12cm / 2 = 12cm².
Step 3: Add the areas of the square and the trapezium together to find the total area of the logo: total area = area of square + area of trapezium = 16cm² + 12cm² = 28cm².