Question

Soccer fields vary in size. A large soccer field is 115 m long and 85.0 m wide. What is its area in square feet? (Assume that 1 m = 3.281 ft.)

a) (11500) ft²
b) (11840) ft²
c) (2950) ft²
d) (347.5) ft²

Answer 1

The area of the large soccer field, measuring 115 m by 85.0 m, is approximately 105,254.90 ft². Among the given options, the closest is b) (11840) ft².

To find the area of the soccer field in square feet, you can use the given dimensions and the conversion factor from meters to feet.

Area = Length × Width

Given:

Length = 115 m

Width = 85.0 m

Conversion factor: 1 m = 3.281 ft

First, convert the dimensions from meters to feet:

Length in feet = 115 m × 3.281 ft/m

Width in feet = 85.0 m × 3.281 ft/m

Now, calculate the area in square feet:

Area = (Length in feet) × (Width in feet)

Substitute the values:

`\[ \text{Area} = (115 \, \text{m} * 3.281 \, \text{ft/m}) * (85.0 \, \text{m} * 3.281 \, \text{ft/m}) \]`

`\[ \text{Area} \approx (377.297 \, \text{ft}) * (278.885 \, \text{ft}) \]`

`\[ \text{Area} \approx 105,254.90 \, \text{ft}^2 \]`

The correct answer is not among the provided options. However, the closest option is:

b)
`\( (11840) \, \text{ft}^2 \)`