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: Find length of GH

Points G(2, 4) and H(2, - 3) have same x - coordinate. Distance formula for two points with same x - coordinate is $d=\vert y_2 - y_1\vert$. So, $GH=\vert4-(-3)\vert = 7$.

Step2: Find length of HJ

Points H(2, - 3) and J(-2, - 3) have same y - coordinate. Distance formula for two points with same y - coordinate is $d=\vert x_2 - x_1\vert$. So, $HJ=\vert2-(-2)\vert = 4$.

Step3: Find length of JK

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

Step4: Find length of KG

Points K(-2, 4) and G(2, 4) have same y - coordinate. So, $KG=\vert2-(-2)\vert = 4$.

Step5: Calculate perimeter

Perimeter $P=GH + HJ+JK + KG$. Substitute the values: $P=7 + 4+7 + 4=22$.

Answer:

22