Question

find the perimeter of the polygon with the vertices g(2, 4), h(2, - 3), j( - 2, - 3), and k( - 2, 4). the perimeter is units.

Explanation:

Step1: Calculate length of GH

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

Step2: Calculate length of HJ

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

Step3: Calculate length of JK

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

Step4: Calculate length of KG

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

Step5: Calculate perimeter

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

Answer:

22