Question

youre the coach of a kids soccer team and your first game is coming up fast. you need to line the edges of the field with chalk. unfortunately, the field is partially cut off by a dirt track, so it is a rather odd shape. the layout of the field is shown. compute the perimeter that youll need to line with chalk. enter the unknown segment length(s), then calculate the perimeter of the polygon. perimeter of the quadrilateral: yards

Explanation:

Step1: Calculate length of RZ

Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points $R(-3,53)$ and $Z(33,48)$, $x_1=-3,y_1 = 53,x_2=33,y_2 = 48$.
$d_{RZ}=\sqrt{(33+ 3)^2+(48 - 53)^2}=\sqrt{36^2+( - 5)^2}=\sqrt{1296 + 25}=\sqrt{1321}\approx36.34$

Step2: Identify known side - lengths

The vertical side on the left has length 50 yards, the horizontal side at the bottom has length 36 yards, and the vertical side on the right has length 45 yards.

Step3: Calculate perimeter

$P=50 + 36+45+36.34 = 167.34$ yards

Answer:

$167.34$ yards