Instructions
Area is the amount of flat space inside a shape. We measure area in square units (like square feet or square centimeters).
Follow these steps to complete the worksheet:
- Start by practicing counting squares to find the area.
- Next, use the Area Formula: Area = Length x Width (L x W).
- Complete the real-world problems and try the challenge questions!
Part 1: Count the Squares (Scaffolding)
In the examples below, imagine each cell is 1 square unit. Count how many square units make up the area of the rectangle. Write your answer below the shape.
| Rectangle Grid (L x W) | Area (Square Units) |
|---|---|
| Example: A 2x4 grid | 8 |
| 1. A 3x3 grid | |
| 2. A 5x2 grid | |
| 3. A 4x6 grid | |
| 4. A 7x1 grid |
Part 2: Using the Formula (A = L x W)
To find the area of a rectangle quickly, multiply its Length (how long it is) by its Width (how wide it is). Remember to include the correct units (e.g., square cm).
Formula Check
| Length (L) | Width (W) | Calculation (L x W) | Area |
|---|---|---|---|
| Example: 5 cm | 3 cm | 5 x 3 | 15 square cm |
| 1. 4 meters | 2 meters | ||
| 2. 6 feet | 5 feet | ||
| 3. 9 inches | 1 inch | ||
| 4. 7 cm | 3 cm | ||
| 5. 8 yards | 4 yards | ||
| 6. 10 meters | 5 meters |
Part 3: Real-World Area Problems
Read each scenario carefully and calculate the total area. Show your work (L x W) and remember the units.
- The Patio: Dad is building a rectangular patio that is 6 feet long and 4 feet wide. What is the area of the patio that needs to be covered in concrete tiles?
Work:
Area:
- The Bedroom Rug: Maria wants to buy a small rug for her bedroom. The rug is 3 meters long and 2 meters wide. What is the area of the floor that the rug will cover?
Work:
Area:
- The Garden Plot: A rectangular garden plot measures 8 yards long and 5 yards wide. If you need to cover the entire area with soil, how much area must you cover?
Work:
Area:
Part 4: The Area Challenge (Extension)
Sometimes you know the total area and one side, but need to find the missing side. Use your knowledge of multiplication and division to solve these problems.
- A piece of paper has a total Area of 30 square inches. If the Length is 6 inches, what must the Width be?
Width:
- A large carpet has an Area of 45 square meters. If the Width is 5 meters, how long is the carpet?
Length:
- Double Trouble: Sarah paints two small rectangular boxes.
- Box A has an Area of 12 square feet.
- Box B has an Area of 16 square feet.
What is the total area she painted on both boxes combined?
Total Area:
Answer Key
Part 1: Count the Squares
| Rectangle Grid (L x W) | Area (Square Units) |
|---|---|
| 1. A 3x3 grid | 9 |
| 2. A 5x2 grid | 10 |
| 3. A 4x6 grid | 24 |
| 4. A 7x1 grid | 7 |
Part 2: Using the Formula (A = L x W)
| Length (L) | Width (W) | Calculation (L x W) | Area |
|---|---|---|---|
| 1. 4 meters | 2 meters | 4 x 2 | 8 square meters |
| 2. 6 feet | 5 feet | 6 x 5 | 30 square feet |
| 3. 9 inches | 1 inch | 9 x 1 | 9 square inches |
| 4. 7 cm | 3 cm | 7 x 3 | 21 square cm |
| 5. 8 yards | 4 yards | 8 x 4 | 32 square yards |
| 6. 10 meters | 5 meters | 10 x 5 | 50 square meters |
Part 3: Real-World Area Problems
- Work: 6 x 4 = 24. Area: 24 square feet
- Work: 3 x 2 = 6. Area: 6 square meters
- Work: 8 x 5 = 40. Area: 40 square yards
Part 4: The Area Challenge (Extension)
- Width: 5 inches (Because 6 x 5 = 30)
- Length: 9 meters (Because 9 x 5 = 45)
- Total Area: 28 square feet (Because 12 + 16 = 28)