30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).What is the perimeter of the polygon to the nearest tenth of a unit? 15.3 units 16.9 units 17.5 units 17.9 units
Accepted Solution
A:
Answer: 16.9 unitsStep-by-step explanation:Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ... 14.87 + 2 = 16.87 ≈ 16.9 . . . units_____The distance formula can be used to find the lengths of individual segments. It tells you ... d = √((Δx)² +(Δy)²)where Δx and Δy are the differences between x- and y-coordinates of the segment end points.If the segments are labeled A, B, C, D, E in order, the distances are ... AB = √(5²+1²) = √26 ≈ 5.099 BC = √(1²+3²) = √10 ≈ 3.162 CD = Δx = 3 DE = √(3²+2²) = √13 ≈ 3.606 EA = Δy = 2Then the perimeter is ... P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867 P ≈ 16.9