Question

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

Explanation:

Step1: Find the side - length of the square

Count the number of units between two adjacent vertices. For example, between G(-4,4) and H(2,4), the distance is calculated using the distance formula for two points on a horizontal line $d=\vert x_2 - x_1\vert$. Here, $x_1=-4$, $x_2 = 2$, so $d=\vert2-(-4)\vert=6$.

Step2: Calculate the area of the square

The area formula of a square is $A = s^2$, where $s$ is the side - length. Since $s = 6$, then $A=6^2 = 36$.

Answer:

36