Question

A soccer field is 100 yards long and 60 yards wide. Suppose coordinates are assigned to the corners of the fields. What are the coordinates of the corners?

1) (0,0), (100,0), (100,60), (0,60)
2) (0,0), (100,0), (100,60), (0,60), (50,30)
3) (0,0), (100,0), (100,60), (0,60), (50,30), (25,15)
4) (0,0), (100,0), (100,60), (0,60), (50,30), (25,15), (75,45)

Answer 1

To convert dimensions of a soccer field from meters to feet and inches, multiply the length and width in meters by 3.281 to get feet, then convert any decimal fraction to inches by multiplying by 12.

Step-by-step explanation:

To convert the dimensions of a soccer field from meters to feet and inches, we use the conversion factor that 1 meter equals approximately 3.281 feet. First, convert the length and width of the soccer field into feet and then into inches, since there are 12 inches in a foot. For example, a soccer field that is 115 meters long is 115 meters x 3.281 feet/meter, which equals 377.315 feet. To convert this to feet and inches, take the decimal fraction and multiply it by 12 (since there are 12 inches in a foot). The process is repeated for the width.

Answer 2

The correct coordinates for the corners of the soccer field are given by option 1: (0,0), (100,0), (100,60), (0,60).

Step-by-step explanation:

The corners of the soccer field form a rectangle, and the coordinates of these corners can be determined based on the dimensions of the field. The length of the field corresponds to the x-axis, and the width corresponds to the y-axis.

The corners are located at the intersections of these axes. Given that the field is 100 yards long and 60 yards wide, the coordinates for the corners are (0,0) (bottom-left), (100,0) (bottom-right), (100,60) (top-right), and (0,60) (top-left). Therefore, option 1 accurately represents the coordinates of the corners.

Understanding the Cartesian coordinate system is essential to represent geometric shapes and their positions accurately. In this case, the coordinates align with the dimensions of the soccer field, providing a clear and precise representation of the corner points. Option 1 correctly identifies the vertices of the rectangle that defines the soccer field on the coordinate plane.

In conclusion, the coordinates of the soccer field's corners are straightforward to determine based on the given dimensions. The chosen option 1 correctly reflects the placement of these corners on the coordinate plane, offering a concise and accurate representation of the soccer field's geometry.

So correct option is option 1: (0,0), (100,0), (100,60), (0,60).