Area of rectangles and squares

The space inside a rectangle

To find out how much space is inside a rectangle (or square, which is a special kind of rectangle), its area, you could fill the shape with unit squares, and count the unit squares.  Another way though, is to use this rule:

Area = Length × Width

The thing is, rectangles have two pairs of equal sides, so we only need two measurements! This video shows you how to find the length and width, and then you can use multiplication to find the area. With a square, we only need one measurement.

Worked examples

Question 1

What if we know the area?

Remember how we only needed to know the length and width to work out the area? Sometimes we might know the area of a rectangle, and either the length or width. Using division, we can work out the missing value! In fact, since a square has $4$4 equal sides, if we know its area, we can work out how long those sides are. How amazing is that! Let's see how it works in this video.

Worked Examples

Question 2

 

Give it a go!

Here's an applet that lets you make some changes. You can change the length and/or width, and see how the area changes. You can also hide the length or width and see how you go working it out.

The area of things!

Once you know how to calculate the area of a rectangle, or find the missing length or width (or sides, if it's a square), you can work out the area of rectangles to do things like:

• covering your desk with plastic, to protect it,
• painting the top of your desk, to change the colour, or 
• putting a rug down on the floor of your bedroom or playroom.

Let's see how we might do this, in the video.

 

Worked Examples

Question 3

Off you go!

Now you can explore some problems where you may need to work through a couple of steps. In this set of videos, you can see what steps you may need to go through, to solve an everyday problem. 

Worked Examples

Question 4