Question

Miguel quiere entrenar para la carrera solidaria de verano en uno de los dos parques que tiene cerca de casa. Su plan es correr unos 10 km cada día y quiere hacer un número exacto de vueltas alrededor del parque para empezar y acabar siempre en la entrada. Como no acaba de decidirse entre el parque cuadrado y el rectangular, decide hacer unos cálculos para ver cuál de ellos le conviene más.

Parque cuadrado:423 metros cada lado
Parque rectangular:673 metros mide la base y 218 metros la altura

Answer 1

• The square park is more convenient.

Step-by-step explanation:

The translation of the question is:

Miguel wants to train for the summer solidarity race in one of the two parks that he has close to home. His plan is to run about 10 km each day and he wants to do an exact number of laps around the park to always start and end at the entrance. Since he has not quite decided between the square and the rectangular park, he decides to do some calculations to see which one suits him best.

Square park: 423 meters each side

Rectangular park: 673 meters measures the base and 218 meters the height

Solution

1. Calculate the perimeter of the square park

The perimeter of a square is the sum of the four side lengths. Since they are equal it is:

• Perimeter = 4 × side lenght

• Perimeter = 4× 423m = 1,692 m

2. Calculate how many times 1,692m is in 10 km

10 km is 10,000 m. Then, divide 10,000 by 1,692 m:

• Number of laps = 10,000m / 1,692m ≈ 5.91 laps

3. Calculate the perimeter of the rectangular park

• Perimeter = 2×base + 2×height

• Perimeter = 2×673m + 2×218m = 1,782m

4. Calculate how many times 1,782 is in 10km

• Number of laps = 10,000m / 1,782m ≈ 5.61 laps

Then, since the number 5.91 is closer to an integer number than 5.61, you conclude that the square park is more conventient, because by running 6 laps around the square park the number of kilometers run will be closer to 10 km than with any number of complete laps in the rectangular park.