# Worksheet: Areas of Irregular Polygons

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

Q1:

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

Q2:

Estimate the area of the figure.

Q3:

Find the area of the shape.

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

Q17:

Find the area of the quadrilateral giving the answer to the nearest square unit.

Q18:

Jacob made this sign for his yard sale; find its area.

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.