Let’s solve each problem one by one. We’ll use the grid to count squares or draw rectangles as needed.
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1a. Draw a rectangle with an area of 40 square units.
Area = length × width
We need two numbers that multiply to 40.
Possible pairs:
- 5 × 8 = 40 → draw a rectangle 5 units wide and 8 units tall (or vice versa)
- 4 × 10 = 40
- 2 × 20 = 40
On the grid, let’s pick 5 rows and 8 columns — that’s easy to draw.
✔ So, shade or outline a rectangle that is 5 squares high and 8 squares wide.
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1b. Find the area of this rectangle.
The rectangle shown has:
- Width = 6 squares
- Height = 3 squares
Area = 6 × 3 =
18 square units
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2a. Find the area of this rectangle.
This rectangle has:
- Width = 4 squares
- Height = 7 squares
Area = 4 × 7 =
28 square units
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2b. Draw a rectangle with an area of 30 square units.
Find two numbers that multiply to 30:
- 5 × 6 = 30 → easy to draw on grid
- 3 × 10 = 30
- 2 × 15 = 30
Let’s go with 5 rows and 6 columns.
✔ Draw a rectangle that is 5 squares tall and 6 squares wide.
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3a. Draw a rectangle with an area of 56 square units.
Find factors of 56:
- 7 × 8 = 56 → perfect for grid drawing
- 4 × 14 = 56
- 2 × 28 = 56
Use 7 rows and 8 columns.
✔ Draw a rectangle 7 squares high and 8 squares wide.
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3b. Find the area of this rectangle.
This rectangle has:
- Width = 7 squares
- Height = 2 squares
Area = 7 × 2 =
14 square units
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Final Answer:
1a. Draw a 5×8 rectangle (or any other pair like 4×10).
1b. 18 square units
2a. 28 square units
2b. Draw a 5×6 rectangle (or 3×10, etc.)
3a. Draw a 7×8 rectangle (or 4×14, etc.)
3b. 14 square units
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheets with answers pdf.
