Question

Find the perimeter of the parallelogram ABCD with vertices A(-4,-5), B(2,-5), C(4,-2) and D(-2,-2).

Answer 1

so, there may be a way to do it simpler than what I'm going to suggest, but the folling is the most intuitively easy way in my mind:

basically, you just need to calculate the length of 4 line segments, then add them together. this can be done using Pythagorean's theorem to calculate the distance between points! : )

for example, if you wanted to determine the distance between points A and B, the equation is:
\[|AB| = \sqrt{(Bx-Ax)^{2}+(By-Ay)^{2}}\]

Do the same for BC, CD, and DA then add them together to get your parimeter!

Answer 2

Thank you!