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 327.27 ft2 327.27 ft2 32.73 ft2 32.73 ft2 450 ft2 450 ft2 240 ft2
Answers
GPT-4o mini
To calculate the space available for each child on the playground, we first need to determine the total area of the rectangular playground and then divide that area by the number of children.
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. **Calculate the space each child has:**
\[
\text{Space per child} = \frac{\text{Total Area}}{\text{Number of Children}} = \frac{18000 \, \text{ft}^2}{55}
\]
\[
\text{Space per child} \approx 327.27 \, \text{ft}^2
\]
Thus, the correct answer is **327.27 ft²**.
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. **Calculate the space each child has:**
\[
\text{Space per child} = \frac{\text{Total Area}}{\text{Number of Children}} = \frac{18000 \, \text{ft}^2}{55}
\]
\[
\text{Space per child} \approx 327.27 \, \text{ft}^2
\]
Thus, the correct answer is **327.27 ft²**.