Let’s solve each problem step by step.
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Problem 1:
We have a green rectangle made of squares. Count the rows and columns.
- There are
6 columns (across) → that’s the length.
- There are
3 rows (down) → that’s the width.
Area = length × width
→ 6 × 3 =
18 square units
Look at the choices:
A. 6 + 3 = 9 → wrong, we multiply for area
B. 6 - 3 = 3 → subtraction doesn’t give area
C. 6 × 6 = 36 → too big, not matching the shape
D. 6 × 3 = 18 →
✔ correct!
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Problem 2:
Pink rectangle — count the sides.
- Across:
5 squares → length = 5
- Down:
4 squares → width = 4
Area = 5 × 4 =
20 square units
Choices:
A. 5 + 4 = 9 → no, addition isn’t area
B. 5 × 4 = 20 →
✔ correct
C. 5 - 4 = 1 → nope
D. 5+4+5+4 = 18 → that’s perimeter, not area
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Problem 3:
Orange rectangle — count carefully.
- Across:
4 squares
- Down:
3 squares
Area = 4 × 3 =
12 square cm
Choices:
A. 4×4=16 → too many rows? No, only 3 down
B. 4×3=12 →
✔ correct
C. 4+3=7 → again, addition is wrong for area
D. 4+3+4+3=14 → that’s perimeter
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Problem 4:
Blue rectangle — “Each square represents one square centimeter.” We need to find length and width by counting units on each side.
Count across (length):
4 squares
Count down (width):
3 squares
So, length = 4 cm, width = 3 cm
(But note: the question says “find the length and width”, not calculate area — so just report the counts.)
Wait — looking back at the instruction:
> “Find the length and width of the rectangle by counting the units on each side.”
It doesn’t ask for area here — just the measurements.
So:
Length = 4 units
Width = 3 units
But let’s check if they want it written as numbers or with units. Since each square = 1 sq cm, then each side unit = 1 cm.
So:
Length = 4 cm
Width = 3 cm
*(Note: Sometimes people say “length” is the longer side — but in math problems like this, unless specified, you can take horizontal as length, vertical as width. Here, 4 > 3, so it makes sense.)*
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Problem 5:
Purple rectangle — “Each square represents one square inch.” Again, we’re to find length and width by counting.
Count across:
8 squares → length = 8 inches
Count down:
3 squares → width = 3 inches
Again, since 8 > 3, it’s fine to call 8 the length.
So:
Length = 8 in
Width = 3 in
*(The problem doesn’t ask for area — just length and width. But if it did, area would be 8 × 3 = 24 sq in.)*
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Now, double-checking all:
✔ Problem 1: D. 6 × 3 = 18
✔ Problem 2: B. 5 × 4 = 20
✔ Problem 3: B. 4 × 3 = 12
✔ Problem 4: Length = 4 cm, Width = 3 cm
✔ Problem 5: Length = 8 in, Width = 3 in
All calculations verified.
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Final Answer:
1. D
2. B
3. B
4. Length = 4 cm, Width = 3 cm
5. Length = 8 in, Width = 3 in
Parent Tip: Review the logic above to help your child master the concept of area worksheet 3rd grade.
