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

Use distance formula for points with same x - coordinate. $GH=\vert4 - (-3)\vert=\vert4 + 3\vert = 7$.

Step2: Calculate length of HJ

Use distance formula for points with same y - coordinate. $HJ=\vert2-(-2)\vert=\vert2 + 2\vert=4$.

Step3: Calculate length of JK

Use distance formula for points with same x - coordinate. $JK=\vert4-(-3)\vert=\vert4 + 3\vert = 7$.

Step4: Calculate length of KG

Use distance formula for points with same y - coordinate. $KG=\vert2-(-2)\vert=\vert2 + 2\vert=4$.

Step5: Calculate perimeter

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

Answer:

22