what is the coordinates at least four other rectangles whose perimeter is between 12 units and 16 units
To find the coordinates of rectangles whose perimeter is between 12 units and 16 units, we can start by understanding the properties of rectangles.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width of the rectangle. We need to find rectangles with perimeters between 12 units and 16 units, which means we want to find rectangles that satisfy the following inequality:
12 < 2L + 2W < 16
Let's explore some possible combinations of length and width to satisfy this condition.
1. Let's assume L = 1 unit and W = 5 units. Plugging these values into the perimeter formula, we get:
P = 2(1) + 2(5) = 2 + 10 = 12 units
Since the perimeter is exactly 12 units, it is not between 12 and 16 units.
2. Let's assume L = 2 units and W = 4 units:
P = 2(2) + 2(4) = 4 + 8 = 12 units
Again, the perimeter is exactly 12 units, not between 12 and 16 units.
3. Let's assume L = 3 units and W = 3 units:
P = 2(3) + 2(3) = 6 + 6 = 12 units
The perimeter is still exactly 12 units, not within the desired range.
4. Let's assume L = 4 units and W = 2 units:
P = 2(4) + 2(2) = 8 + 4 = 12 units
Once again, the perimeter is exactly 12 units.
After attempting different combinations of length and width, we can see that we haven't found any rectangles whose perimeter falls within the range of 12 and 16 units.
Therefore, there are no rectangles satisfying the given conditions.