Question

Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:

Location 1 is at (−4, −1) .
Location 2 is at ​​ (−4, 4) .
Location 3 is at (3, 4) .
Location 4 is at (3, −1) .

The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.

What is the total distance Betsy has traveled?

Answer 1

She has traveled 240 yards, it was on my test :)

Answer 2

240 yd

Explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB
`+` length of segment BC
`+` length of segment CD
`+` length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB
`=5` units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC
`=7` units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD
`=5` units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA
`=7` units

Hence, the total distance covered is
`5+7+5+7=24` units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is
`10* 24=240` yd