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rectanglevilles limits form a perfectly rectangular shape whose length is 20 kilometers and width is 12 kilometers. it has a population density of 320 people per square kilometer.
what is the population of rectangleville?
round your answer, if necessary, to the nearest integer.
people
Step1: Calculate the area of Rectangleville
The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \). Here, the length is 20 kilometers and the width is 12 kilometers. So, \( A = 20 \times 12 \).
\( A = 240 \) square kilometers.
Step2: Calculate the population
Population density \( d \) is defined as \( d = \frac{\text{population}}{\text{area}} \), so we can rearrange this to find the population \( P \): \( P = d \times \text{area} \). The population density \( d \) is 320 people per square kilometer and the area is 240 square kilometers. So, \( P = 320 \times 240 \).
\( P = 76800 \)
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76800