Question

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?

Answer 1

Answer:

3750 ft

Step-by-step explanation:

Denote Stops as points A(-2,1), B(-2,-7), C(5,-7) and D(5,1) and find all distances between two consecutive points:

• $AB=\sqrt{(-2-(-2))^2+(1-(-7))^2}=8\ units;$
• $BC=\sqrt{(-2-5)^2+(-7-(-7))^2}=7\ units;$
• $CD=\sqrt{(5-5)^2+(1-(-7))^2}=8\ units;$
• $DA=\sqrt{(5-(-2))^2+(1-1)^2}=7\ units.$

The total distance Paolo walked is

$8+7+8+7=30\ units.$

Since 1 unit on the coordinate grid equals 125 feet, then the total distance Paolo walked is

$30\cdot 125=3750\ ft.$