Question
A playground is in the shape of a rectangle with a length of 180 ft. and a width of 100 ft. If there are 55 children playing on the playground, which of the following correctly calculates how much space each child has on the playground? Round your answer to the nearest hundredth.(1 point)
Responses
32.73 ft.2
32.73 ft. squared
327.27 ft.2
327.27 ft. squared
240 ft.2
240.23 ft. squared
450 ft.2
Responses
32.73 ft.2
32.73 ft. squared
327.27 ft.2
327.27 ft. squared
240 ft.2
240.23 ft. squared
450 ft.2
Answers
GPT-4o mini
To find out how much space each child has on the playground, we need to calculate the area of the playground and then divide that area by the number of children playing.
1. Calculate the area of the playground:
\[
\text{Area} = \text{Length} \times \text{Width} = 180 \, \text{ft} \times 100 \, \text{ft} = 18000 \, \text{ft}^2
\]
2. Divide the total area by the number of children:
\[
\text{Space per child} = \frac{\text{Area}}{\text{Number of children}} = \frac{18000 \, \text{ft}^2}{55}
\]
3. Calculating the above division:
\[
\text{Space per child} \approx 327.27 \, \text{ft}^2
\]
So, the correct answer is:
**327.27 ft. squared**
1. Calculate the area of the playground:
\[
\text{Area} = \text{Length} \times \text{Width} = 180 \, \text{ft} \times 100 \, \text{ft} = 18000 \, \text{ft}^2
\]
2. Divide the total area by the number of children:
\[
\text{Space per child} = \frac{\text{Area}}{\text{Number of children}} = \frac{18000 \, \text{ft}^2}{55}
\]
3. Calculating the above division:
\[
\text{Space per child} \approx 327.27 \, \text{ft}^2
\]
So, the correct answer is:
**327.27 ft. squared**