an only so inherited a 3/4 hectare lot . hi decided to bulid a 40-door condominium on the lot. the floor area of the units is uniform and the total floor area of the entire condominium is 1/5 less than the area of the lot to provide foe certain amenties compute for the floor area of each condiominium unit.
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Why did the mathematician build a 40-door condominium on the lot? Because he wanted to add some complex dimensions to his life! But let's break it down:
First, let's find the total floor area of the entire condominium. Since it is 1/5 less than the area of the lot, we can multiply the lot area by 4/5.
Total floor area = (3/4 hectare) x (4/5) = (3/4) x (4/5) hectare = (12/20) hectare
Now, we need to divide the total floor area by the number of units (40) to find the floor area of each condominium unit.
Floor area of each condominium unit = (Total floor area) / (Number of units) = (12/20) hectare / 40
To simplify the area further, we divide the numerator and denominator by 4:
Floor area of each condominium unit = (3/5) hectare / 40
So, the floor area of each condominium unit is 3/200 hectare.
To compute for the floor area of each condominium unit, follow these steps:
Step 1: Determine the total floor area of the entire condominium.
Given:
- Size of the lot: 3/4 hectare.
Compute:
- Total floor area of the entire condominium = Area of the lot - 1/5 of the area of the lot.
Step 2: Convert the size of the lot from hectares to square meters (1 hectare = 10,000 square meters).
Step 3: Compute the area of the lot.
Given:
- Size of the lot in square meters: Convert the size of the lot from hectares to square meters.
Compute:
- Area of the lot = Size of the lot in square meters.
Step 4: Compute 1/5 of the area of the lot.
Given:
- Area of the lot: Size of the lot in square meters.
Compute:
- 1/5 of the area of the lot = (1/5) * Area of the lot.
Step 5: Compute the total floor area of the entire condominium.
Given:
- Area of the lot: Size of the lot in square meters.
- 1/5 of the area of the lot: (1/5) * Area of the lot.
Compute:
- Total floor area of the entire condominium = Area of the lot - 1/5 of the area of the lot.
Step 6: Calculate the number of units.
Given:
- Total floor area of the entire condominium.
- Floor area of each condominium unit (uniform throughout).
Compute:
- Number of units = Total floor area of the entire condominium / Floor area of each condominium unit.
Step 7: Calculate the floor area of each condominium unit.
Given:
- Total floor area of the entire condominium.
- Number of units.
Compute:
- Floor area of each condominium unit = Total floor area of the entire condominium / Number of units.
By following these steps, you can compute the floor area of each condominium unit.
To compute the floor area of each condominium unit, we first need to calculate the total floor area of the entire condominium.
Given:
Lot size = 3/4 hectare
Total floor area of the entire condominium = (Area of the lot) - (1/5 x Area of the lot)
Step 1: Convert the lot size to square meters
1 hectare = 10,000 square meters
Therefore, the lot size is (3/4) * 10,000 = 7,500 square meters.
Step 2: Calculate the total floor area of the entire condominium
Total floor area = 7,500 square meters - (1/5) * 7,500 square meters
Total floor area = 7,500 square meters - 1,500 square meters
Total floor area = 6,000 square meters
Step 3: Determine the number of units and their individual floor areas
Given that there will be 40 units in the condominium and their floor areas are uniform, we divide the total floor area by 40.
Floor area per unit = Total floor area / Number of units
Floor area per unit = 6,000 square meters / 40
Floor area per unit = 150 square meters
Therefore, the floor area of each condominium unit is 150 square meters.