Question

what is the perimeter of square vwxy? perimeter = units

Explanation:

Step1: Determine side - length of square

Count the number of grid units between two adjacent vertices. For example, between \(V(4, - 2)\) and \(W(8,-2)\), the side - length \(s\) of the square can be found using the distance formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) on a coordinate - plane \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 4,y_1=-2,x_2 = 8,y_2=-2\), so \(s=\sqrt{(8 - 4)^2+(-2+2)^2}=\sqrt{4^2}=4\).

Step2: Calculate the perimeter of the square

The formula for the perimeter \(P\) of a square is \(P = 4s\). Since \(s = 4\), then \(P=4\times4 = 16\).

Answer:

16