# Worksheet: Areas of Irregular Polygons

In this worksheet, we will practice finding the areas of irregular polygons using a grid of unit squares.

**Q4: **

Find the area of the shape.

**Q5: **

Determine the area of the figure.

- A13
- B15.5
- C11.5
- D18
- E20

**Q6: **

Find the area of the shape given that each square represents 1 square centimeter.

**Q7: **

Work out the area of the shaded shape. Each square represents 1 square centimeter.

**Q8: **

Find the area of this shape. Remember that the area of each small square is 1.

**Q9: **

Find the area of this shape. Remember that the area of each square is 1.

**Q10: **

Find the area of the shape by counting the squares.

**Q11: **

Estimate the area of the figure.

**Q12: **

Which is the best estimate for the area of this shape? Remember that the area of each small square is 1.

- A60
- B62
- C58
- D40
- E44

**Q13: **

Find the area of this shape. Remember that the area of each small square is 1.

**Q14: **

The diagram shows the floor plan for a tree house. One square on the grid represents 1 square foot. About how many square feet is the area of the floor?

**Q15: **

Charlotte has drawn a shape with an area of 12 square units.

Which two shapes have an area that is different from Charlotte’s shape?

- AShape 2, Shape 3
- BShape 1, Shape 2
- CShape 1, Shape 3

**Q16: **

Find the area of this shape.

- A square units
- B square units
- C12 square units
- D square units
- E11 square units

**Q19: **

The side length of each small square in the grid is one unit.

Find the area of the colored shape.

**Q20: **

Determine the area of the shown figure.

- A55
- B50
- C45
- D51
- E29

**Q21: **

In the diagram each square represents 10 square centimeters. What is the area of the colored shape?

**Q22: **

Find the area of the colored shape by counting square units.

- A4 square units
- B14 square units
- C10 square units
- D12 square units
- E16 square units

**Q23: **

Suppose each square in the shown grid is a square centimeters. What is the area of the colored shape?

**Q24: **

In the given diagram, one square represents 5. Find the area of the shaded part.

**Q25: **

Natalie thinks that this shape has an area of 15 square units. Is she correct?

- ANo, because the square units do not cover the whole area.
- BYes, because the square units cover the whole area.
- CYes, because there are 15 tiles.
- DYes, because the tiles do not overlap.