Question

The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plane below. They will need to build a fence around the perimeter of the park. Each unit represents 1 yard. How much fencing will they need for the dog park? Round your answer to the nearest tenth. The city of Orlando will need approximately how many yards of fencing for the dog park?

Answer 1

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

     = $\sqrt{41}$

     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

                                                                       = 4 + 6.4 + 5

                                                                       = 15.4 yards