Question

what is the perimeter of square cdef?
write your answer as an integer or as a decimal rounded to the nearest tenth.

Explanation:

Step1: Find the length of one side

Use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) for two points. Take points \(C(- 5,-1)\) and \(D(-5,5)\).

$$\begin{align*} d&=\sqrt{(-5+5)^2+(5 + 1)^2}\\ &=\sqrt{0+36}\\ &=6 \end{align*}$$

Step2: Calculate the perimeter of the square

The perimeter of a square \(P = 4s\), where \(s\) is the side - length. Here \(s = 6\).
\(P=4\times6\)

Answer:

\(24\)