The location of four game stops are on a coordinate grid are as follows: stop 1 at (−2,1) stop 2 at (−2, −7) stop 3 at (5,−7) stop 4 at (5, 1) paulo begins at stop 1 and then walks to stop 2, then stop 3, and then stop 4. then he walks to stop 1 again. the path between each stop is a straight line. one unit on the coordinate grid equals 125 feet. what is the total distance paulo walked?

3750 feet

Step-by-step explanation:

Given that Paulo begins at Stop 1 and then walks to Stop 2, then Stop 3, and then Stop 4. Then he walks to Stop 1 again.

Where stops are given by coordinates:

Stop 1 at (−2,1)

Stop 2 at (−2, −7)

Stop 3 at (5,−7)

Stop 4 at (5, 1)

The path between each stop is a straight line. One unit on the coordinate grid equals 125 feet.

Now we need to find about what is the total distance Paulo walked.

So first we graph those points so that we can easily count the length of each side. then add each side to get the total length

length of rectangular path = 8+7+8+7=30

since one unit on the coordinate grid equals 125 feet. So to find the actual length we need to multiply 30 by 125 feet.

Hence final answer will be 125*30 = 3750 feet.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584