The total area of the flag of Sweden, combining the main blue field and the yellow cross, is 340 square inches.
To find the area of the whole flag of Sweden, we can break it down into two parts: the main blue field and the yellow cross in the upper right. The main blue field is a rectangle with dimensions 3 1/5 inches by 2 inches, and the yellow cross is a rectangle with dimensions 9/5 inches by 4/5 inch.
To calculate the area of the blue field, multiply its length and width:
Area of blue field = (3 1/5 inches) * (2 inches) = 6 2/5 square inches.
To calculate the area of the yellow cross, multiply its length and width:
Area of yellow cross = (9/5 inches) * (4/5 inch) = 36/25 square inches.
Now, add the areas of the blue field and the yellow cross to find the total area of the flag:
Total area = Area of blue field + Area of yellow cross
= 6 2/5 square inches + 36/25 square inches.
To add these fractions, find a common denominator, which is 25:
Total area = (6 * 5 + 2) / 5 + 36/25
= 32/5 + 36/25.
To add these fractions, find a common denominator, which is 25:
Total area = (32 + 36) / 5 * 25
= 68/5 * 25
= 340 square inches.
Therefore, the total area of the flag of Sweden is 340 square inches.
Complete question:
This flag of Sweden is 3 1/5 inches wide and 2 inches tall. The rectangle in the upper right is 9/5 inches wide and 4/5 inch tall. What is the area of the whole flag?