Farley is training for a bike-a-thon. the path he rides, in miles each day, is represented by the rectangle in the coordinate plane below.

on a coordinate plane, points are at (negative 4, 3), (negative 4, 0), (4, 0), and (4, 3).

how far does farley ride each day?
8 miles
11 miles
16 miles
22 miles

Let's imagine this rectangle ABCD. Point A has coordinates (-4,3), B (-4,0), C (4,0) and D (4,3).

Now if we presume that each unit on a plane is 1 mile, we can calculate the distance:

- from A to B: we need to calculate the distance between these two coordinates (-4,3) and (-4,0). Since x coordinate of both points is the same (-4), we only subtract the y coordinates and we get 3-0=3. So, from A to B there is a 3 unit distance which means the length is 3 miles.

- from B to C: again, we calculate the distance between B (-4,0) and C (4,0). This time, y coordinates are the same (0), so we only use x coordinates: -4 - 4 = -8. That means that there are 8 units between B and C, which is 8 miles.

-from C to D: similarly, since C (4,0) and D (4,3) have the same x coordinates (4), we will subtract y coordinates: 0 - 3 = -3, that's 3 unit length, which means 3 miles

- from D to A: finally, since D (4,3) and A (-4,3) have the same y coordinate (3) so we subtract only x coordinates: 4 - (-4) = 8. That means that distance is 8 units, or 8 miles.

Don't get confused about negative values if some distances, we only use absolute value of the number, regardless of its negativity.

To calculate Farley's daily distance, we need to add all these values together:

3 + 8 + 3 + 8 = 22 miles.

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