An only son inherited a 3/4 hectare lot. He decided to build a 40-door condominium on the lot. The floor are 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 for certain amenities. What is the floor area of each condominium unit?
To find the floor area of each condominium unit, we need to first determine the total floor area of the entire condominium.
Given:
Lot area = 3/4 hectare
Total floor area of the entire condominium = 1/5 less than the area of the lot
Let's start by finding the total floor area of the entire condominium:
1. Convert the lot area from hectares to square meters:
1 hectare = 10,000 square meters
Lot area = 3/4 * 10,000 = 7,500 square meters
2. Calculate 1/5 less than the area of the lot:
1/5 * 7,500 = 1,500 square meters
3. Subtract the result from step 2 from the lot area:
7,500 - 1,500 = 6,000 square meters
Therefore, the total floor area of the entire condominium is 6,000 square meters.
Now, to find the floor area of each condominium unit, divide the total floor area by the number of doors:
Floor area of each condominium unit = Total floor area / Number of doors
Given:
Number of doors = 40
4. Calculate the floor area of each condominium unit:
6,000 / 40 = 150 square meters
Therefore, the floor area of each condominium unit is 150 square meters.
To find the floor area of each condominium unit, we need to start by calculating the total floor area of the entire condominium.
Given:
- The lot size is 3/4 hectare.
- The floor area of the entire condominium is 1/5 less than the lot area.
Step 1: Convert the lot size to the same unit of measurement.
Since the lot size is given in hectares, let's convert it to square meters for easier calculation.
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.
The floor area of the entire condominium is 1/5 less than the lot area. We can find this by subtracting 1/5 of the lot area from the lot area.
1/5 of the lot area = (1/5) * 7,500 = 1,500 square meters.
Total floor area of the entire condominium = 7,500 - 1,500 = 6,000 square meters.
Step 3: Calculate the floor area of each condominium unit.
Since there are 40 condominium units in total, we divide the total floor area by the number of units.
Floor area of each condominium unit = 6,000 / 40 = 150 square meters.
Therefore, the floor area of each condominium unit is 150 square meters.