The other two vertices are (4, 3) and (4, 7).
Explanation:
Step 1:
One point of the rectangle is at (2, 3) and another is at (2, 7).
Since there is a difference only in the y values, this side of the rectangle represents the width of the rectangle.
The width of the rectangle = diference in y values = 7 - 3 = 4 units.
Step 2:
The rectangle has a perimeter of 12 units. The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle.
Assume the rectangle's length to be x units.
The Perimeter = 2 × (length of the rectange + width of the rectangle)
The Perimeter = [tex]2 (x + 4) = 12[/tex] units.
So the rectangle's length = 2 units.
Step 3:
As we have the two left points of the rectangle, we will get the right vertices by adding the values of x to the two given vertices.
The new vertices = (2+2, 3) and (2+2, 7) = (4, 3) and (4, 7).