Question

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

Explanation:

Step1: Find side - length of the square

Count the number of grid - units between two adjacent vertices. For example, between points D(3, - 4) and E(3,9), the vertical distance (which is the side - length of the square) is calculated using the distance formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) on a vertical line (\(x_1=x_2\)): \(s=\vert y_2 - y_1\vert\). Here, \(x_1 = x_2=3\), \(y_1=-4\), \(y_2 = 9\), so \(s=\vert9-( - 4)\vert=\vert9 + 4\vert = 13\).

Step2: Calculate the area of the square

The area formula of a square is \(A=s^2\). Since \(s = 13\), then \(A=13^2=169\).

Answer:

169