Question

plot and connect the points in the order listed below. when you are done, find the perimeter of the resulting figure.

$a(-9,6), b(6,6), c(6,-9), d(-9,-9)$

Explanation:

Step1: Find length of side AB

Points A(-9,6) and B(6,6) have same y - coordinate. Use distance formula for points with same y - coordinate: $d=\vert x_2 - x_1\vert$. Here $x_1=-9,x_2 = 6$, so $AB=\vert6-(-9)\vert=\vert6 + 9\vert=15$.

Step2: Find length of side BC

Points B(6,6) and C(6,-9) have same x - coordinate. Use distance formula for points with same x - coordinate: $d=\vert y_2 - y_1\vert$. Here $y_1 = 6,y_2=-9$, so $BC=\vert-9 - 6\vert=\vert-15\vert=15$.

Step3: Find length of side CD

Points C(6,-9) and D(-9,-9) have same y - coordinate. Using $d=\vert x_2 - x_1\vert$, with $x_1 = 6,x_2=-9$, we get $CD=\vert-9 - 6\vert=15$.

Step4: Find length of side DA

Points D(-9,-9) and A(-9,6) have same x - coordinate. Using $d=\vert y_2 - y_1\vert$, with $y_1=-9,y_2 = 6$, we get $DA=\vert6-(-9)\vert=15$.

Step5: Calculate perimeter

Perimeter of a polygon is sum of side - lengths. Since it's a square (all sides are equal), $P=AB + BC+CD + DA=15+15+15+15 = 60$.

Answer:

60