Grade 3 worksheet on finding the area of shapes using a grid.
A grade 3 math worksheet from Brighterly titled "Perimeters using a grid," featuring 16 shapes on a grid where students calculate the area in square inches, assuming each square is 1 inch wide and tall.
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Step-by-step solution for: FREE Area And Perimeter Worksheets Grade 3 [PDFs] Brighterly
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Show Answer Key & Explanations
Step-by-step solution for: FREE Area And Perimeter Worksheets Grade 3 [PDFs] Brighterly
This is a Grade 3 worksheet on finding the area of shapes using a grid. The task is to find the area of each shape in square inches, with the assumption that each square on the grid is 1 inch wide and tall.
To solve this, I need to count the number of 1-inch squares that make up each shape. The area will be equal to the number of squares counted, since each square represents 1 square inch.
I'll go through each shape one by one and count the squares.
- It's a rectangle made of 2 rows and 3 columns of squares.
- Count: 2 x 3 = 6 squares.
- Area: 6 square inches.
- It's a square made of 3 rows and 3 columns of squares.
- Count: 3 x 3 = 9 squares.
- Area: 9 square inches.
- It's an L-shape. Let's count the squares: top row has 3, middle row has 2 (one missing), bottom row has 1.
- Count: 3 + 2 + 1 = 6 squares.
- Area: 6 square inches.
- It's a rectangle with a missing square. Top row has 3, bottom row has 3, but one square is missing from the bottom row.
- Count: 3 + 2 = 5 squares.
- Area: 5 square inches.
- It's a T-shape. Top row has 3, middle row has 1 (centered), bottom row has 1.
- Count: 3 + 1 + 1 = 5 squares.
- Area: 5 square inches.
- It's a shape with a protrusion. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
- It's a rectangle made of 3 rows and 4 columns of squares.
- Count: 3 x 4 = 12 squares.
- Area: 12 square inches.
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
- It's a rectangle made of 2 rows and 3 columns of squares.
- Count: 2 x 3 = 6 squares.
- Area: 6 square inches.
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
- It's an L-shape. Top row has 3, middle row has 2, bottom row has 1.
- Count: 3 + 2 + 1 = 6 squares.
- Area: 6 square inches.
- It's a shape with a protrusion. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
Now, I will summarize the areas for all shapes.
The areas for each shape are as follows:
1. 6 square inches
2. 9 square inches
3. 6 square inches
4. 5 square inches
5. 5 square inches
6. 8 square inches
7. 12 square inches
8. 8 square inches
9. 6 square inches
10. 6 square inches
11. 8 square inches
12. 6 square inches
13. 6 square inches
14. 8 square inches
15. 8 square inches
16. 6 square inches
This completes the solution to the worksheet. Each area was calculated by counting the number of 1-inch squares that make up each shape.
To solve this, I need to count the number of 1-inch squares that make up each shape. The area will be equal to the number of squares counted, since each square represents 1 square inch.
I'll go through each shape one by one and count the squares.
Shape 1:
- It's a rectangle made of 2 rows and 3 columns of squares.
- Count: 2 x 3 = 6 squares.
- Area: 6 square inches.
Shape 2:
- It's a square made of 3 rows and 3 columns of squares.
- Count: 3 x 3 = 9 squares.
- Area: 9 square inches.
Shape 3:
- It's an L-shape. Let's count the squares: top row has 3, middle row has 2 (one missing), bottom row has 1.
- Count: 3 + 2 + 1 = 6 squares.
- Area: 6 square inches.
Shape 4:
- It's a rectangle with a missing square. Top row has 3, bottom row has 3, but one square is missing from the bottom row.
- Count: 3 + 2 = 5 squares.
- Area: 5 square inches.
Shape 5:
- It's a T-shape. Top row has 3, middle row has 1 (centered), bottom row has 1.
- Count: 3 + 1 + 1 = 5 squares.
- Area: 5 square inches.
Shape 6:
- It's a shape with a protrusion. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
Shape 7:
- It's a rectangle made of 3 rows and 4 columns of squares.
- Count: 3 x 4 = 12 squares.
- Area: 12 square inches.
Shape 8:
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
Shape 9:
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
Shape 10:
- It's a rectangle made of 2 rows and 3 columns of squares.
- Count: 2 x 3 = 6 squares.
- Area: 6 square inches.
Shape 11:
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
Shape 12:
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
Shape 13:
- It's an L-shape. Top row has 3, middle row has 2, bottom row has 1.
- Count: 3 + 2 + 1 = 6 squares.
- Area: 6 square inches.
Shape 14:
- It's a shape with a protrusion. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
Shape 15:
- It's a shape with a missing square. Top row has 3, middle row has 3, bottom row has 2.
- Count: 3 + 3 + 2 = 8 squares.
- Area: 8 square inches.
Shape 16:
- It's a shape with a protrusion. Top row has 2, middle row has 3, bottom row has 1.
- Count: 2 + 3 + 1 = 6 squares.
- Area: 6 square inches.
Now, I will summarize the areas for all shapes.
The areas for each shape are as follows:
1. 6 square inches
2. 9 square inches
3. 6 square inches
4. 5 square inches
5. 5 square inches
6. 8 square inches
7. 12 square inches
8. 8 square inches
9. 6 square inches
10. 6 square inches
11. 8 square inches
12. 6 square inches
13. 6 square inches
14. 8 square inches
15. 8 square inches
16. 6 square inches
This completes the solution to the worksheet. Each area was calculated by counting the number of 1-inch squares that make up each shape.
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet for grade 3.