Areas of Rectangles and Squares

**Rectangles **and **squares **are two of the most common shapes.

Can you think of any objects that are a rectangle? 🤔

Here are a few examples of rectangular objects:

Can you think objects that are square?

Here are some square objects:

In this lesson, we're going to learn to find the** area **of rectangles and squares.

**Area **is the amount of space that a shape or object covers.

Look at this shape.

How many squares does this green rectangle cover?

It covers 6 squares.

Its area is **6 square units**.

We use a **unit of area **to know exactly how a shape is measured.

For example, if each square in the grid above is 1 square meter, then the area of the green rectangle is **6 square meters**.** **

**Tip: **We can write 6 square meters as** 6 m²**. This is read as "6 square meters*"*.

Take note of the small number 2 written at the top right side of m. That's really important.

To know the area of the rectangle, we **count the number of squares **it covers.

Another way is to **multiply**** the length of the sides**.

In a rectangle, **opposite sides are equal**.

The length of the sides that go from **left to right** is called **width**.

The length of the sides that go from **top to bottom **is called **height or length**.

To find the **area of a rectangle**, **multiply** the width by the height.

widthxheight=area

Let's use this formula to find the width of the green rectangle.

**First**, know the width and height.

The width is 3 square units, and the height is 2 square units.

Now, **multiply** the width by height.

3x2=6 square units

✅ If 1 square unit is 1 square meter, then 6 square units is 6 square meters (6 m²).

It's the same answer we got when we counted each square. 😃

A square has 4 equal sides.

This means that the length of the sides are the same.

To find the **area of a square**, **multiply** the length of 1 side by itself.

What's the area of this square?

The length of each side is 3.

3x3=9 square units

The area of the square is 9 square units.

✅ If 1 square unit is 1 centimeter, then 9 square units is 9 square centimeter (9 cm²).

Great job! 😺

If there are **no grids** with squares to help you, you can still figure out the area of a shape.

To find the **area of a rectangle**, **multiply**:

length of widthxlength of height=area

To find the **area of a square**, **multiply**:

the length of any side by itself

Let's practice with examples!

We see that the width is 10 inches, and the height is 6 inches.

We **multiply** these two numbers together.

10x6=60

✅ The area of this rectangle is **60 square inches (or 60 in²)**.

😃 Make sure to **write the unit of area **after the number.

The length of one side is 4 feet.

Let's **multiply** that to itself.

4 ftx4 ft=16 square feet

✅ The area of this square is 16 square feet, or 16 ft².

Great work! 🎇

Now try the practice exercises. 💪

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