Calculating Area - Cycle 3

| Mathematics

How is Area Calculated?

To find the area of a square or rectangle, multiply the measure of its length by the measure of its width.

Be careful!

Exemple d’une unité de mesure qui doit être convertie.

When calculating area, make sure that the same unit of measurement is used. If the units of measurement are different, first convert one to the other.  

To learn how, consult the concept sheet Converting Units for Measuring Length.

Example:

I choose to convert 50 mm into cm to have a single unit of measurement.

Rule

Follow these steps to calculate the area of a figure.

  1. I verify that the measurements are given using the same unit. If not, I convert them.
  2. I multiply the length by the width to obtain the area.
Example

What is the area of the figure in square decimetres (dm²)?

Exemple du calcul de l’aire -1

  1. I verify that the measurements are given using the same unit. If not, I convert them.

    To learn how, I can consult the concept sheet Converting Units of Measurement for Length.

    Since I need to find the area of the figure in dm², I will convert 10 m into dm.

Exemple du calcul de l’aire -2
  1. I multiply the length by the width to obtain the area.
100 dm × 40 dm = 4 000 dm²

The figure has an area of 4 000 dm².

How is the Area of a Complex Figure Calculated?

To find the area of a complex figure, first decompose the figure into squares or rectangles. Then, find the area of each of these sections.

Rule

Follow these steps to calculate the area of a complex figure:

  1. I verify if the measurements are given using the same unit. If not, I convert them.
  2. I decompose the figure into squares or rectangles.
  3. I calculate the area of each section by multiplying the length by the width.
  4. I add the areas of each section to obtain the total area.
Example

What is the area of the figure in square meters (m²)?

Exemple du calcul de l’aire figure complexe - 1

  1. I verify if the measurements are given using the same unit. If not, I convert them.

    Since I need to find the area of the figure in m², I will convert 20 dm to m.

Exemple du calcul de l’aire figure complexe - 2
  1. I decompose the figure into squares or rectangles.

    I get 2 rectangles: A and B.

Exemple du calcul de l’aire figure complexe - 3
  1. I calculate the area of each section by multiplying the length by the width.

    Figure A has a length of 8 m and a width of 2 m.

    Figure B has a length of 3 m and a width of 2 m.

A : 8 m × 2 m = 16 m²

B : 3 m × 2 m = 6 m²

  1. I add the area of all the sections to obtain the total area.
16 m² + 6 m² = 22 m²

The area of the figure is 22 m².

Calculating Area (Grades 5 - 6)

Calculating Area (Grades 5 - 6)

Moments in the video:

  • 00:00-Presentation of the problem
  • 00:14-Method to calculate the area of a rectangle
  • 00:58-Method to calculate the area of a complex figure
  • 02:29-Conclusion