Question

A park is represented on a map with the following vertices coordinates: Vertex 1 is at ( -4, - 1) vertex 2 is at ( - 4, 5) vertex 3 is at (2,5) vertex 4 is at ( 2, -1 ) Linsey jogs along the edge of the park in order from vertex 1 to vertex 2 to vertex 3 to vertex 4 and then back to vertex 1 one unit on the coordinate gride equal 20 yd what is the total distance Linsey jogged enter the answer in the box

Answer 1

To find the total distance Linsey jogged along the edges of the park, we can use the distance formula and calculate the distance between each consecutive pair of vertices. Then, we can sum up these distances to get the total distance.

Step-by-step explanation:

To calculate the total distance Linsey jogged, we need to find the distance between each consecutive pair of vertices and then sum them up. We can use the distance formula, which is based on the Pythagorean theorem. Let's calculate the distance between vertex 1 and vertex 2 as an example:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Distance = sqrt((-4 - -4)^2 + (5 - -1)^2)

Distance = sqrt(0^2 + 6^2)

Distance = sqrt(0 + 36)

Distance = sqrt(36)

Distance = 6 units (20 yd per unit)

Now, you can calculate the distances between the other pairs of vertices and sum them up to find the total distance Linsey jogged.

Answer 2

The required distance jogged by Lindey is given as 480 yd.

GIven that,

A park is represented on a map with the following vertices coordinates: Vertex 1 is at (−4, −1). Vertex 2 is at (−4, 5) . Vertex 3 is at (2, 5). Vertex 4 is at (2, −1). Linsey jogs along the the edge of the park in order from vertex 1 to vertex 2 to vertex 3 to vertex 4 and then back to vertex 1. One unit on the coordinate grid equals 20 yd.

Here,

Parameter of the park from vertex 1 to vertex 1 = 6 + 6 + 6 + 6 = 24 units,

Now scaled distance jogged by Lindsey = 20 × 24 = 480 yd.