A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters how far will the gopher have run to get from one of its holes to the other. round if necessary to the nearest tenth. use the formula a square plus b square equals c square

9.2 meters

Step-by-step explanation:

Hi, since the situation forms a 2 right triangles (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse (x) of each triangle (in this case the distance between the opposite corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 6^2 + 7^2  

c^2 = 36+49

c^2 = 85

c = √85

c = 9.2 meters

Feel free to ask for more if needed or if you did not understand something.  

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