# The area of a square field is #24,200 m^2#. How long will Maya take to cross the field diagonally at the rate of 6.6 km/hr?

2 minutes

Maya needs to run 220 meters, so if her speed is 6.6 km/h, that translates to 6600 m/h. It will take her

By signing up, you agree to our Terms of Service and Privacy Policy

To find out how long Maya will take to cross the field diagonally, we need to first determine the length of one side of the square field using its area. Since the area of the square field is given as 24,200 m², we can find the length of one side by taking the square root of the area.

[ \text{Length of one side} = \sqrt{24200} ]

Once we have the length of one side, we can use the Pythagorean theorem to find the length of the diagonal (which is also the hypotenuse of a right triangle formed by the sides of the square). The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.

[ \text{Diagonal} = \sqrt{(\text{Length of one side})^2 + (\text{Length of one side})^2} ]

After finding the length of the diagonal, we convert the speed from kilometers per hour to meters per hour (since the length of the diagonal is in meters). Once we have both the distance and the speed in the same units, we can use the formula:

[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} ]

Thus, the time Maya will take to cross the field diagonally can be calculated.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7