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 1×1 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 1 2 1 2 square units
  • B 1 3 1 2 square units
  • C12 square units
  • D 1 1 1 2 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 1×1 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.

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