Worksheet: Estimating the Areas of Irregular Shapes

In this worksheet, we will practice estimating the areas of some irregular shapes using a grid of unit squares.

Q1:

Noah wants to fill his flower bed with new plants. Each plant needs one square unit of space.

How many flowers should he buy?

Remember to make an estimate by adding the smaller parts to make whole square units.

  • A13 plants
  • B8 plants
  • C5 plants
  • D28 plants
  • E20 plants

Q2:

This is a photograph of Benjamin’s new house. He needs to know the area of the roof to fit solar panels. Should he count the tiles to find the area?

  • ANo, because the square units do not cover the whole area.
  • BYes, because the area can be found by counting tiles.
  • CYes, because the tiles cover the whole area.
  • DNo, because they overlap and cover more than the area of the shape.
  • EYes, because the tiles do not overlap.

Q3:

Estimate the area of the given figure.

  • A34
  • B42
  • C16
  • D26
  • E22

Q4:

Estimate the area of the figure.

  • A33
  • B23
  • C26
  • D30
  • E20

Q5:

Which is the best estimate of the area of the figure?

  • A23.5
  • B30.5
  • C50
  • D38.5
  • E27.5

Q6:

Estimate the area of the shaded part.

  • A39.5
  • B20.5
  • C15
  • D24.5
  • E31.5

Q7:

A landscape architect designed a pond. Estimate its area.

  • A58
  • B42
  • C53
  • D50
  • E45

Q8:

Find, to the nearest tenth, the area of the shaded region.

Q9:

Select the shape which has the largest area.

  • A
  • B
  • C
  • D
  • E

Estimate the area of the largest shape (to the nearest whole square unit).

  • A16
  • B17
  • C12
  • D14
  • E15

Q10:

Determine, to the nearest tenth, the area of the shaded region.

Q11:

Using 3.14 as an estimate for 𝜋, find, to the nearest tenth, the area of the shown figure, given that each square represents 10 square centimeters.

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