Question

for #1 - 4, find the perimeter of the polygon with the given vertices. 1. g(2,4), h(2, - 3), j(-2, - 3), k(-2,4)

Explanation:

Step1: Find length of GH

Points G(2, 4) and H(2, - 3) have same x - coordinate. Distance $d_{GH}=\vert4-(-3)\vert = 7$.

Step2: Find length of HJ

Points H(2, - 3) and J(-2, - 3) have same y - coordinate. Distance $d_{HJ}=\vert2-(-2)\vert = 4$.

Step3: Find length of JK

Points J(-2, - 3) and K(-2, 4) have same x - coordinate. Distance $d_{JK}=\vert4 - (-3)\vert=7$.

Step4: Find length of KG

Points K(-2, 4) and G(2, 4) have same y - coordinate. Distance $d_{KG}=\vert-2 - 2\vert = 4$.

Step5: Calculate perimeter

Perimeter $P=d_{GH}+d_{HJ}+d_{JK}+d_{KG}=7 + 4+7 + 4=22$.

Answer:

22