Question 1:
You have been tasked with designing a regional plan for a city with a population of 500,000. The city is experiencing rapid growth and requires careful planning to accommodate the increasing population while ensuring sustainable development. The city's land area is 100 square kilometers. Based on the given information, calculate the population density and land-use intensity for this city.
Solution:
Step 1: Calculate Population Density Population Density = Total Population / Land Area
Given: Total Population = 500,000 Land Area = 100 square kilometers
Population Density = 500,000 / 100 = 5,000 people per square kilometer
Step 2: Calculate Land-Use Intensity Land-Use Intensity = Total Built-up Area / Land Area Since the specific built-up area is not provided in the question, let's assume it to be 30% of the total land area.
Built-up Area = 0.3 * Land Area Built-up Area = 0.3 * 100 = 30 square kilometers
Land-Use Intensity = 30 / 100 = 0.3 or 30%
Therefore, the population density of the city is 5,000 people per square kilometer, and the land-use intensity is 30%.
Question 2:
You are working on a regional planning project for a coastal city. The city has a land area of 150 square kilometers and a total population of 800,000. The city council wants to allocate land for various purposes based on the following percentages:
Residential: 40%
Commercial: 25%
Industrial: 20%
Parks and Open Spaces: 15%
Based on this information, calculate the land area allocated for each land use category.
Solution:
Step 1: Calculate the land area for each land use category
Given: Land Area = 150 square kilometers
Residential Area = 40% of Land Area
Total Population = 800,000
Residential Area = 0.4 * 150 = 60 square kilometers
Commercial Area = 0.25 * 150 = 37.5 square kilometers
Commercial Area = 25% of Land Area
Industrial Area = 20% of Land Area
Industrial Area = 0.2 * 150 = 30 square kilometers
Parks and Open Spaces Area = 0.15 * 150 = 22.5 square kilometers
Parks and Open Spaces Area = 15% of Land Area
Step 2: Calculate the population density for the residential area
Population Density = Total Population / Residential Area
Population Density = 800,000 / 60 = 13,333 people per square kilometer
Therefore, based on the given percentages, the land area allocated for each land use category is as follows:
Residential: 60 square kilometers
Commercial: 37.5 square kilometers
Industrial: 30 square kilometers
Parks and Open Spaces: 22.5 square kilometers
Question 3:
You are working on a regional planning project for a suburban area. The total land area of the region is 200 square kilometers, and it has a population of 300,000. The regional planning goal is to allocate land for residential, commercial, and recreational purposes. The city council has decided to allocate 60% of the land for residential use, 25% for commercial use, and the remaining for recreational purposes. Based on this information, calculate the land area allocated for each category.
Solution:
Step 1: Calculate the land area for each category
Given: Total Land Area = 200 square kilometers
Total Population = 300,000
Residential Allocation = 60% of Total Land Area
Residential Area = 0.6 * 200 = 120 square kilometers
Commercial Allocation = 25% of Total Land Area
Commercial Area = 0.25 * 200 = 50 square kilometers
Recreational Allocation = Remaining Land Area
Recreational Area = Total Land Area(Residential Area + Commercial Area) Recreational Area = 200 - (120 + 50) = 30 square kilometers
Step 2: Calculate the population density for the residential area
Population Density = Total Population / Residential Area
Population Density = 300,000 / 120 = 2,500 people per square kilometer
Therefore, based on the given percentages, the land area allocated for each category is as follows:
Residential: 120 square kilometers
Commercial: 50 square kilometers
Recreational: 30 square kilometers
Additionally, the population density in the residential area is calculated to be 2,500 people per square kilometer.
Question 4:
You are tasked with designing a regional plan for a city with a population of 1 million. The city has a land area of 500 square kilometers. The city council wants to allocate land for residential, commercial, industrial, and green spaces based on the following percentages:
Residential: 45%
Commercial: 30%
Industrial: 20%
Green Spaces: 5% Based on this information, calculate the land area allocated for each land use category.
Solution:
Step 1: Calculate the land area for each land use category
Given: Total Population = 1,000,000 Land Area = 500 square kilometers
Residential Area = 45% of Land Area
Residential Area = 0.45 * 500 = 225 square kilometers
Commercial Area = 30% of Land Area
Commercial Area = 0.30 * 500 = 150 square
Industrial Area = 20% of Land Area
Industrial Area = 0.20 * 500 = 100 square kilometers
Green Spaces Area = 5% of Land Area
Green Spaces Area = 0.05 * 500 = 25 square kilometers
Step 2: Calculate the population density for the residential area
Population Density = Total Population / Residential Area
Population Density = 1,000,000 / 225 = 4,444.44 people per square kilometer
Therefore, based on the given percentages, the land area allocated for each land use category is as follows:
Residential: 225 square kilometers
Commercial: 150 square kilometers
Industrial: 100 square kilometers
Green Spaces: 25 square kilometers
Additionally, the population density in the residential area is calculated to be approximately 4,444.44 people per square kilometer.
Question 5:
You are working on a regional planning project for a city with a population of 750,000. The city covers a land area of 400 square kilometers. The city council wants to allocate land for residential, commercial, industrial, and institutional purposes based on the following percentages:
Residential: 50%
Commercial: 20%
Industrial: 15%
Institutional: 15%
Based on this information, calculate the land area allocated for each land use category.
Solution:
Step 1: Calculate the land area for each land use category
Given: Total Population = 750,000 Land Area = 400 square kilometers
Residential Area = 50% of Land Area
Residential Area = 0.50 * 400 = 200 square kilometers
Commercial Area = 20% of Land Area
Commercial Area = 0.20 * 400 = 80 square kilometers
Industrial Area = 15% of Land Area
Industrial Area = 0.15 * 400 = 60 square kilometers
Institutional Area = 15% of Land Area
Institutional Area = 0.15 * 400 = 60 square kilometers
Step 2: Calculate the population density for the residential area
Population Density = Total Population / Residential Area
Population Density = 750,000 / 200 = 3,750 people per square kilometer
Therefore, based on the given percentages, the land area allocated for each land use category is as follows:
Residential: 200 square kilometers
Commercial: 80 square kilometers
Industrial: 60 square kilometers
Institutional: 60 square kilometers