Dr. Chavez drew a rectangle on a coordinate plane to estimate the size of a lake. Each unit represents 1 mi. The coordinates of the rectangle are the origin, (0,7.65), (12.8, 7.65) and (12.8,0). Based on the information, what is the perimeter of the lake?

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

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option: d is correct

step-by-step explanation: