Design My House PBL Math | Area and Perimeter Activity Digital ... - Free Printable

Let’s solve this step by step.

We are looking at a floor plan made of colored furniture pieces on grid paper. Each piece is labeled with what it is (like “bed”, “couch”, “table”, etc.). The goal is to figure out how many different types of furniture are shown — meaning, we count each unique label only once, even if there are multiple copies of that item.

Step 1: List all the labels you see on the furniture pieces.

Go through each piece and write down its name:

- bed (appears 3 times — blue, pink, yellow)
- sink (appears 2 times — yellow and blue)
- bath tub (appears 2 times — purple and orange)
- table (appears as “table” alone? Let’s check — actually, most tables are combined like “table & lamp”, “table & chairs”, or just “table” in one case? Wait — look again.)

Wait — let’s be careful. We need to list every *unique* label exactly as written.

Here’s the full list of labels from the image:

1. bed
2. sink
3. bath tub
4. toilet
5. tv
6. couch
7. table & lamp
8. chair
9. table
10. computer & desk
11. sink & counters
12. table & chairs
13. stove & counters
14. fridge
15. desk

Wait — did we miss any? Let’s go row by row or area by area to make sure.

Top left:
- bed (blue) → #1
- sink (yellow) → #2
- toilet (red) → #4
- bath tub (purple) → #3
- table (small purple) → Is this just “table”? Yes! So add #9: table
- bed (pink) → already counted

Middle top:
- tv (orange) → #5
- computer & desk (yellow) → #10
- sink & counters (yellow L-shape) → #11
- stove & counters (orange vertical) → #13
- fridge (pink bottom right of kitchen) → #14

Left middle:
- table & lamp (brown, two of them) → #7
- couch (pink) → #6
- chair (green) → #8
- table (red) → #9 (already have “table”)
- chair (blue) → #8 (same type)
- tv (green small) → #5 (already have)

Bottom left:
- sink (blue) → #2 (already have)
- toilet (pink) → #4 (already have)
- bath tub (orange) → #3 (already have)

Bottom middle/right:
- desk (blue) → #15
- tv (red vertical) → #5 (already have)
- bed (yellow) → #1 (already have)

Center right:
- table & chairs (pink round) → #12

Now let’s compile the UNIQUE labels:

1. bed
2. sink
3. bath tub
4. toilet
5. tv
6. couch
7. table & lamp
8. chair
9. table
10. computer & desk
11. sink & counters
12. table & chairs
13. stove & counters
14. fridge
15. desk

That’s 15 different types.

But wait — is “table” really separate from “table & lamp” and “table & chairs”? Yes, because they are labeled differently. In floor plans or inventory, if something is labeled differently, it’s considered a different item type — even if it includes “table”.

Also, “computer & desk” vs “desk” — those are different labels, so they count separately.

Same with “sink” vs “sink & counters”.

So yes — 15 unique labels.

Double-check by counting again:

List:

1. bed
2. sink
3. bath tub
4. toilet
5. tv
6. couch
7. table & lamp
8. chair
9. table
10. computer & desk
11. sink & counters
12. table & chairs
13. stove & counters
14. fridge
15. desk

Yes — 15 items.

Final Answer:
15