The 4ft by 6ft has a solid red rectangular area that covers 1/3 of the flag. What could be the dimensions of this red area?
A = LW
A = 4 * 6
A = 24 sq.ft.
1/3 * 24 = ?
total area= 24.
1/3 of 24 is 8 sqft.
dimension of red area, of 8 ft^2
2x4
To determine the dimensions of the red area on the flag, we need to calculate the length and width of the rectangle that covers 1/3 of the flag.
Step 1: Calculate the total area of the flag.
The given dimensions of the flag are 4ft by 6ft. To find the total area, multiply the length by the width:
Area = Length x Width
Area = 4ft x 6ft
Area = 24 square feet
Step 2: Calculate the area of the red rectangle.
We know that the red rectangle covers 1/3 of the flag's area. To find the area of the red rectangle, multiply the total area of the flag by 1/3:
Red Rectangle Area = Total Area x (1/3)
Red Rectangle Area = 24 square feet x (1/3)
Red Rectangle Area = 8 square feet
Step 3: Determine the dimensions of the red rectangle.
Since the area of a rectangle is the product of its length and width, we need to find two numbers that multiply to give 8 square feet. Some possible dimensions for the red rectangle could be:
- Length: 2ft and Width: 4ft
- Length: 4ft and Width: 2ft
- Length: 1ft and Width: 8ft
- Length: 8ft and Width: 1ft
These are just a few examples, but there could be other combinations of dimensions that would yield an area of 8 square feet.