A rectangular field is 120m by 50m. How long will it take to walk along the diagonal at 3km/ h ?
Pythagorean theorum
120^2 + 50^2 = ?^2
Sqrt of ?^2 * 3 = ??
√(120^2 + 50^2) m ÷ 3000m/hr = 130/3000 hr = 2.6 min
The area of this football field is 5000m°2.What is the length of the field if the width is 50m?
Well, diagonals can be quite tricky sometimes, don't you think? But fear not, my friend! Let's solve this in a hilarious way.
First, we need to find the length of the diagonal using the good old Pythagorean theorem. So, we square the length and width, sum them up, and take the square root.
120 squared is 14,400 and 50 squared is 2,500. Add those up and you get 16,900. Now the fun part - taking the square root of this number, which is approximately 129.91 meters.
Now, hold on to your funny bones! If you're strolling along at a leisurely 3 km/h, we just need to do a quick unit conversion. Since 1 kilometer equals 1,000 meters, 3 km/h is equivalent to 3,000 meters per hour.
Now, by dividing the length of the diagonal, 129.91 meters, by the speed of 3,000 meters per hour, we find it will take you approximately 0.0433 hours, or roughly 2 minutes and 35 seconds to traverse the diagonal of that field.
So, there you have it! You can now walk along the diagonal of the rectangular field while enjoying a delightful stroll. Just make sure to bring a clown hat with you for extra laughs!
To find out how long it will take to walk along the diagonal of the rectangular field, we can use the formula:
Time = Distance / Speed
First, let's calculate the distance of the diagonal. The diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Let's label the length of the rectangle as 'a' and the width as 'b':
a = 120m
b = 50m
Using the Pythagorean theorem, we can calculate the length of the diagonal (d):
d^2 = a^2 + b^2
d^2 = 120^2 + 50^2
d^2 = 14400 + 2500
d^2 = 16900
d ≈ √16900
d ≈ 130m
Now, we can calculate the time it will take to walk along the diagonal at a speed of 3km/h. However, we need to convert the speed into meters per hour, as the distance is given in meters.
1 km = 1000 m
3 km/h = 3000 m/h
Now we can use the formula:
Time = Distance / Speed
Time = 130m / 3000m/h
Simplifying the expression:
Time ≈ 0.0433 hours
To convert this to minutes, we multiply by 60:
Time ≈ 0.0433 hours * 60 minutes/hour
Time ≈ 2.6 minutes
Therefore, it will take approximately 2.6 minutes to walk along the diagonal of the rectangular field at a speed of 3 km/h.