Question

What is the perimeter of square STUV?
U =(0,-2)
V =(4,-2)
T =(0,-6)
S =(4,-6)
Perimeter = ____ Units

Answer 1

To find the perimeter of square STUV, we first need to determine the length of one side of the square.

We can use the coordinates of any two consecutive vertices to find the length of a side. Let's take points U and V:

- \( U = (0, -2) \)
- \( V = (4, -2) \)

The length of the side \( UV \) can be calculated using the distance formula. However, since both points have the same y-coordinate, the distance is simply the difference in the x-coordinates:

\[
\text{Length of } UV = |x_V - x_U| = |4 - 0| = 4 \text{ units}
\]

Now we can find the perimeter of the square. The perimeter \( P \) of a square is given by:

\[
P = 4 \times \text{side length}
\]

Substituting the side length we found:

\[
P = 4 \times 4 = 16 \text{ units}
\]

Thus, the perimeter of square STUV is:

\[
\text{Perimeter} = 16 \text{ units}
\]