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.

Answer 1

To find out how much space each child has on the playground, we first need to calculate the total area of the 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. Now, divide the total area by the number of children to find the space per child:
\[
\text{Space per child} = \frac{\text{Total area}}{\text{Number of children}} = \frac{18000 \, \text{ft}^2}{55}
\]

Performing the division:
\[
\text{Space per child} \approx 327.27272727272727 \, \text{ft}^2
\]

3. Rounding this to the nearest hundredth:
\[
\text{Space per child} \approx 327.27 \, \text{ft}^2
\]

Therefore, each child has approximately **327.27 ft²** of space on the playground.