a rectangle is 1/2 red and 1/3 blue. Also it has one green tile and one yellow tile. What would the rectangle look like? What fractional part is green? Yellow?
since it has 2 tiles not red or blue, and that is 1/6, the rectangle has 12 tiles.
So, there are 6 red tiles and 4 blue tiles. Arrange them as you will.
Well, it sounds like we have quite the colorful rectangle here! Let's break it down, shall we?
Since the rectangle is 1/2 red and 1/3 blue, we can imagine splitting the rectangle into six equal parts. Two of those parts would be red, and two parts would be blue.
Now, we have one green tile and one yellow tile. Since the rectangle has six parts, it means that each part represents 1/6 of the whole. Therefore, the green tile takes up 1/6 of the rectangle, and the yellow tile also takes up 1/6 of the rectangle.
To sum it up, the rectangle would have two red parts, two blue parts, one green tile (1/6), and one yellow tile (1/6). I guess you could say it's like a colorful patchwork quilt!
To understand what the rectangle would look like, we need to determine its dimensions based on the given information. Let's assume that the rectangle has a total of 6 tiles to ensure compatibility with the given fractions.
Step 1: Find the number of red tiles:
Since the rectangle is 1/2 red, we know that 1/2 of the tiles are red.
Therefore, the rectangle has (1/2) * 6 = 3 red tiles.
Step 2: Find the number of blue tiles:
Since the rectangle is 1/3 blue, we know that 1/3 of the tiles are blue.
Therefore, the rectangle has (1/3) * 6 = 2 blue tiles.
Step 3: Find the number of green tiles:
We are given that the rectangle has one green tile.
Step 4: Find the number of yellow tiles:
We are given that the rectangle has one yellow tile.
Step 5: Calculate the fractional part of green:
The fraction of green tiles can be calculated as 1 (number of green tiles) / 6 (total number of tiles).
Therefore, the fractional part of green is 1/6.
Step 6: Calculate the fractional part of yellow:
The fraction of yellow tiles can also be calculated as 1 (number of yellow tiles) / 6 (total number of tiles).
Therefore, the fractional part of yellow is also 1/6.
In summary, the rectangle has 3 red tiles, 2 blue tiles, 1 green tile, and 1 yellow tile. The fractional parts are 1/6 for both green and yellow.
To determine what the rectangle would look like, we need to calculate the dimensions of the rectangle based on the given information.
First, let's assume the area of the rectangle is equal to a certain value, such as 6 units.
Since the rectangle is 1/2 red and 1/3 blue, we can calculate the areas of the red and blue sections:
Red section = (1/2) * 6 = 3 units
Blue section = (1/3) * 6 = 2 units
Next, we know that the rectangle has one green tile and one yellow tile, which means each tile occupies an area of 1 unit.
So, the remaining area of the rectangle (after accounting for the red and blue sections) is:
Remaining area = 6 - (3 + 2) = 1 unit
Therefore, the green tile occupies 1/6th of the rectangle, making it 1/6 green. Similarly, the yellow tile also occupies 1/6th of the rectangle, making it 1/6 yellow.
To summarize:
- The rectangle is made up of 1/2 red (3 units), 1/3 blue (2 units), 1/6 green (1 unit), and 1/6 yellow (1 unit).