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A charity’s outreach program is working to provide food and medicine to the people affected by a hurricane. The members drive in a truck from their headquarters at A, as shown in the image, to the locations B,C,D,E,F,G, and H and then go back to their office. What is the total length of their drive?

A charity’s outreach program is working to provide food and medicine to the people-example-1

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Given:

The charity's truck drives from the headquarters at A to different locations B, C, D, E, F, G and H as per the given image.

To Find:

The total length of the drive.

Answer:

The total length of the drive is 30 units.

Explanation:

To calculate the toal length of the drive, we calculate the length of each segment of the trip. That is, we calculate the distance between every successive location and finally add up the result.

So, we calculate the distance from A to B first. On the y-axis, this is from the point 5 to the point 2. So, the distance will be (5-2) = 3 units.

Next, length of the segment between points B and C is calculated. This is on the x-axis between points 7 and 4. So, the distance would be (7-4) = 3 units.

Next, the distance between locations D and C can be calculated on the y-axis as the points 2 and -2. So, distance = 2 - (-2) = 4 units.

Similarly, distance between D and E is (7 - 3) = 4 units.

Distance between E and F is (1 - (-2)) = 3 units

Distance between F and G is (3 - (-1)) = 4 units.

Distance between G and H is (5 - 1) = 4 units.

Finally, distance between H and A is (4 - (-1)) = 5 units.

Adding up all these distances, we get the full distance of the drive which is

3 + 3 + 4 + 4 + 3 + 4 + 4 + 5 = 30 units.

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