Question

( note: the small squares in the grid have side lengths of one yard and areas of 1 square yard.) figure a the red vertical line represents the path dolores walked. how far did dolores walk before she caught a pokemon? yards the blue horizontal line represents the path marianne walked. how far did marianne walk before she caught a pokemon? yards what is the distance between the spot where marianne caught a pokemon and the spot where dolores caught a pokemon? yards round your result to two decimal places as needed. question help: video message instructor

Explanation:

Step1: Determine Dolores' distance

Count the number of grid - squares along the red line. Dolores walked 8 grid - squares. Since each grid - square side length is 1 yard, her distance is 8 yards.

Step2: Determine Marianne's distance

Count the number of grid - squares along the blue line. Marianne walked 12 grid - squares. Since each grid - square side length is 1 yard, her distance is 12 yards.

Step3: Calculate the distance between their end - points

Use the Pythagorean theorem \(d=\sqrt{a^{2}+b^{2}}\), where \(a = 8\) and \(b=12\). So \(d=\sqrt{8^{2}+12^{2}}=\sqrt{64 + 144}=\sqrt{208}\approx14.42\) yards.

Answer:

Dolores: 8
Marianne: 12
Distance between them: 14.42