Question

graph square hijk with vertices h(2, -7), i(2, -1), j(-4, -1), and k(-4, -7).
what is the area of square hijk?
area = \square square units

Explanation:

Step1: Find the side length

For points \( H(2, -7) \) and \( I(2, -1) \), since the \( x \)-coordinates are the same, the distance (side length \( s \)) is the absolute difference of \( y \)-coordinates: \( |-1 - (-7)| = |6| = 6 \).

Step2: Calculate the area

The area of a square is \( A = s^2 \). Substituting \( s = 6 \), we get \( A = 6^2 = 36 \).

Answer:

36