Question

plot and connect the points in the order listed below. when you are done, find the perimeter of the resulting figure.
a(-2,8), b(5,8), c(5,4), d(1,4), e(1,-1), f(-2,-1)
click on the graph to plot a point. click a point to delete it.
when you are done, press \graph figure\ to see the result.

Explanation:

Step1: Calculate length of AB

Points A(-2,8) and B(5,8) have same y - coordinate. So length \( AB=\vert5 - (-2)\vert=7\).

Step2: Calculate length of BC

Points B(5,8) and C(5,4) have same x - coordinate. Length \( BC=\vert8 - 4\vert = 4\).

Step3: Calculate length of CD

Points C(5,4) and D(1,4) have same y - coordinate. Length \( CD=\vert5 - 1\vert=4\).

Step4: Calculate length of DE

Points D(1,4) and E(1, - 1) have same x - coordinate. Length \( DE=\vert4-(-1)\vert = 5\).

Step5: Calculate length of EF

Points E(1,-1) and F(-2,-1) have same y - coordinate. Length \( EF=\vert1-(-2)\vert=3\).

Step6: Calculate length of FA

Points F(-2,-1) and A(-2,8) have same x - coordinate. Length \( FA=\vert8-(-1)\vert = 9\).

Step7: Sum all lengths for perimeter

Perimeter \(=AB + BC+CD + DE+EF + FA=7 + 4+4 + 5+3 + 9 = 32\).

Answer:

32