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?

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Аноним Аноним · Answer 1 · 2017-11-17T20:04:37+01:00

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

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aachen aachen · Answer 2 · 2019-08-21T06:05:20+02:00

Answer:

240 yd

Step-by-step 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[tex]+[/tex] length of segment BC[tex]+[/tex] length of segment CD[tex]+[/tex] 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 [tex]=5 [/tex] units

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

So, length of segment BC [tex]=7 [/tex] units

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

So, length of segment CD [tex]=5 [/tex] units

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

So, length of segment DA [tex]=7 [/tex] units

Hence, the total distance covered is [tex]5+7+5+7=24[/tex] units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is [tex]10\times 24=240[/tex] yd