Question

what is the area of square vwxy?

coordinate grid with square vwxy vertices at approximate coordinates: y(-8, -2), v(1, -2), w(1, -10), x(-8, -10) (or adjusted for square side length)

area = \square square units

Explanation:

Step1: Find the side length

First, we determine the side length of the square. Looking at the coordinates of points V and Y (or V and W, or X and Y, or X and W), we can calculate the distance between two adjacent vertices. For example, from V(1, -2) to Y(-7, -2) (assuming the grid is 1 unit per square), the horizontal distance is \( |1 - (-7)| = 8 \) units. Alternatively, from V(1, -2) to W(1, -10), the vertical distance is \( |-2 - (-10)| = 8 \) units. So the side length \( s \) of the square is 8 units.

Step2: Calculate the area

The formula for the area of a square is \( A = s^2 \). Substituting \( s = 8 \), we get \( A = 8^2 = 64 \).

Answer:

64