Question

what is the area of square defg? area = square units

Explanation:

Step1: Determine side - length of square

Count the number of grid units between two adjacent vertices. For example, between $D(4,6)$ and $G(4, - 8)$, the vertical distance (which is the side - length of the square) is calculated as $|6-(-8)|$.
$|6 - (-8)|=|6 + 8|=14$.

Step2: Calculate area of square

The area formula of a square is $A = s^2$, where $s$ is the side - length. Here $s = 14$.
$A=14^2 = 196$.

Answer:

196