Question

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?

Answer 1

Answer:

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 = $\sqrt{3025}$

- Result

                  b = 55 m

2.- Conclusion

The width of the field is 55 m