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.  

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk