A farmer is tilling his rectangular field. The length of the field is 48 meters and distance between opposite corners is 73 meters. How wide is the farmer's field?

The answer to your question is 55 m

Step-by-step explanation:

Data

length = 48 m

distance between opposite corners = 73 m

width = ?

Process

1.- To find the length of the width use the Pythagorean theorem

                  c² = a² + b²

c = 73

a = 48

- Solve for b

                  b² = c² - a²

- Substitution

                  b² = (73)² - (48)²

- Simplification

                  b² = 5329 - 2304

                  b² = 3025        

                  b =

- Result

                  b = 55 m

2.- Conclusion

The width of the field is 55 m                

Step-by-step explanation:

we have the equation of distance between two points :

d=

first point (21,5)

second point (28,-1)

so we have

d=

d=

d=

d=

so we have

d=