Answer:
The area of the rectangular field is 20,000 square meters.
Explanation:
1. Let's review the information given to us to answer the question correctly:
Number of times a person jogged along the rectangular field = 10
Speed of the person jogging = 12 km per hour
Time he/she jogged = 30 minutes = 0.5 hours
Length of the field = twice its width
2. Find the area of the field in square meters.
Step A: Let's calculate the distance the person jogged
Let's recall the formula of the speed:
Speed = Distance/Time
Distance = Speed * Time
Replacing with the values we know:
Distance = 12 * 0.5
Distance = 6 kilometers
Step B: Let's calculate the perimeter of the rectangular field
Distance jogged = ¨Perimeter * 10
6 kilometers = Perimeter * 10
Perimeter = 6/10
Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters
Perimeter = 2 * Length + 2 * Width
x = Width of the rectangular field
2x = Length of the rectangular field
600 = 2 * 2x + 2 * x
600 = 4x + 2x
600 = 6x
x = 600/6 = 100 meters ⇒ 2x = 200 meters
Step C: Let's calculate the area of the rectangular field
Let's recall the formula of the area of a rectangle:
A = Length * Width
A = 200 * 100
A = 20,000 m² (square meters)