Looking at the floor plan, we can see that each room has a number written inside it. These numbers likely represent the area of each room in square meters (or some unit of area).
Let’s list out all the rooms and their areas as shown:
- Room 14 → Area = 14
- Room 17.1 → Area = 17.1
- Room 9 → Area = 9
- Toilet (middle left) → Area = 6.5
- Toilet (bottom left) → Area = 2.9
- Kitchen → Area = 10.6
- Living/dining R → Area = 39.2
- Common area → No area given directly, but we can calculate it if needed.
Also, on the left side, there’s a note: “A = 123.8” — this is likely the total area of the entire floor plan.
The question isn’t explicitly stated, but since you uploaded this with no other instruction, and given the context of homework help, it’s very likely the task is to
verify or use the total area — perhaps to find a missing value, or confirm the sum.
Let’s add up all the labeled areas:
14 + 17.1 = 31.1
31.1 + 9 = 40.1
40.1 + 6.5 = 46.6
46.6 + 2.9 = 49.5
49.5 + 10.6 = 60.1
60.1 + 39.2 = 99.3
So the sum of all labeled areas is
99.3
But the total area given is
123.8
That means the “Common area” must be the difference:
123.8 - 99.3 =
24.5
Wait — let’s double-check the addition:
List again:
- Room 14: 14.0
- Room 17.1: 17.1
- Room 9: 9.0
- Toilet 1: 6.5
- Toilet 2: 2.9
- Kitchen: 10.6
- Living/dining: 39.2
Add step by step:
Start with 14.0 + 17.1 = 31.1
31.1 + 9.0 = 40.1
40.1 + 6.5 = 46.6
46.6 + 2.9 = 49.5
49.5 + 10.6 = 60.1
60.1 + 39.2 = 99.3 ← Correct
Total given: 123.8
Missing area (Common area) = 123.8 - 99.3 = 24.5
Now, looking at the drawing, the “Common area” is labeled between the toilets and the living/dining room. It doesn’t have an area written, so this makes sense.
Alternatively, maybe the task was just to read the total area? But since “A = 123.8” is already written, and the problem says “solve the problem”, it’s more likely we’re being asked to find the area of the common area.
Another possibility: maybe the task is to verify the total area by adding all parts including dimensions? But that would require calculating from lengths and widths, which is more complex and not necessary since the areas are already given per room.
Given that, and since the only unaccounted area is the “Common area”, and we have total area minus sum of others, the answer should be 24.5.
But wait — let me check if “Common area” is actually included in the 123.8. Yes, because 123.8 is labeled as “A =”, which typically means total area.
Also, note that the “Entrance” is on the left, but it’s probably part of the common area or hallway, not a separate room with area.
So, final calculation:
Total area = 123.8
Sum of known rooms = 99.3
Common area = 123.8 - 99.3 = 24.5
I think that’s what the problem is asking for — even though it wasn’t explicitly stated, based on standard floor plan problems, finding the missing area is common.
Final Answer:
24.5
Parent Tip: Review the logic above to help your child master the concept of perimeter of a house worksheet.
