# Area in Square Centimetres

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## What is the Area in Square Centimetres?

Measuring the area of a shape means that you are measuring the amount of space inside the shape. This is done for a flat object such as a rectangle, square or triangle and is commonly done in units called square centimetres (cm²). Therefore, when we are asked to find the area in square centimetres of a flat shape, we are basically being asked for the number of 1 cm² squares that can fit into that shape.

For example, the area in square centimetres of the following rectangle is 12 square centimetres. This means that 12 squares, which each measure 1 square centimetre, fit inside that rectangle.

## How to Work Out Square Centimetres

Fnding the area in square centimetres of a rectangle by counting the number of squares within that shape. However, this is not always possible and can take a lot of time, so mathematicians use formulas to calculate the area. To find the area in square centimetres of a rectangle, you can multiply the length by the width using the following formula:

A = l x w
A is the area, l is the length, and w is the width.

## Area in Square Centimetres – Example

Looking at the rectangle from earlier, notice that there are 12 squares inside. This means that the area in square centimetres is 12cm².

When we are calculating the area of a shape, we can also find the same answer using the formula.

A = l x w = 4cm x 3cm =12 cm²

## How to Calculate Square Centimetres

Here are some more examples for our formula area = length x width.

Length (cm) Width (cm) Area (cm²)
2 8 16
5 10 50
12 6 72

## How to Find Length and Width from Area

Area is equal to length x width so that means we can use the area to find the length and width of a rectangle. When finding length and width from area, we need to know the area measurement and either the length or width measurement. We can then divide the area by the length or width to find the missing value. Area is length times width therefore length is area divided by width and width is area divided by length.

### How to Find the Length and Width of an Area

Let’s look at some examples of how to find the length and width of a rectangle when given the area. If we had a rectangle with an area of 12 cm² and a width of 3 cm, we would divide 12 by 3 to find the length. 12 divided by 3 equals 4, therefore the length of the rectangle would be 4 cm. You can see more examples in the table below.

Area = 15 cm² Length = 5 cm Width = 15 ÷ 5 Width = 3 cm
Area = 24 cm² Width = 8 cm Length = 24 ÷ 8 Length = 3 cm

### Area in Square Centimetres – Summary

The area in square centimetres of a flat object is the number of 1 cm² squares that can fit in it.

When finding the area in square centimetres of a rectangle;

• First: ensure that the length and width are in centimetres
• Then: Use the formula area = length x width and multiply the length by the width
• Finally: write your answer followed by cm².

Continue learning about area in square centimetres by using our interactive exercises, worksheets and other fun activities.

## Frequently Asked Questions on Area in Square Centimetres

What are square centimetres a measure of?
What is the area in square centimetres?
Is area length times width?
What is the area of a rectangle in square centimetres?
What is the area of a circle in square centimetres?

## Area in Square Centimetres exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Area in Square Centimetres.
• ### What is the area of each room?

Hints

To find the area of a rectangle, we need to multiply the length by the width.

For example, if we were finding the area of this rectangle we would multiply 6 x 3 to get 18cm².

Solution

To find the area, we multiply the length by the width.

• 5 x 4 = 20; area = 20 cm²
• 6 x 4 = 24; area = 24 cm²
• 5 x 3 = 15; area = 15 cm²
• 7 x 3 = 21; area = 21 cm²
Remember to always write the units, such as cm², after an area measurement.

• ### Can you find the missing measurements?

Hints

Remember: Area = length x width or A = l x w.

For the room on the left, you are trying to find the area so you need to multiply the length by the width.

For the room on the right, the length is missing. That means that you need to divide the area by the width.

Solution

The room on the left was missing the area. To find this out we need to:

• multiply the length by the width.
• 6 x 4 = 24.
• Therefore, the area is 24 cm².
The room on the right was missing the length. To find this out we need to:
• divide the area by the width.
• 20 $\div$ 4 = 5.
• Therefore, the length is 5cm.

• ### What is the area of each room?

Hints

First, find the length and the width of each room.

Multiply the length and the width together to find the area.

For example, if we were finding the area of this room we would multiply the length of 4 cm by the width of 3 cm.

• 4 x 3 = 12
• Area = 12 cm²
Solution

To find the area we multiply the length by the width.

12 cm²

• The room with a length of 4 cm and a width of 3 cm. 4 cm x 3 cm = 12 cm².
• The room with a length of 6 cm and a width of 2 cm. 6 cm x 2 cm = 12 cm².
15 cm²
• The room with a length of 5 cm and a width of 3 cm. 5 cm x 3 cm = 15 cm².
20 cm²
• The room with a length of 5 cm and a width of 4 cm. 5 cm x 4 cm = 20 cm².
• The room with a length of 10 cm and a width of 2 cm. 10 cm x 2 cm = 20 cm².

• ### Missing measurements.

Hints

To find the area, multiply the length by the width.

To find the length or the width, divide the area by the measurement you know.

Remember, area measurements always have ² at the end.

Solution

Wooden board

• We were given the length and the width, so we were finding the area.
• Multiply the length by the width.
• 10 x 10 = 100, therefore the area is 100cm².
Card
• We were given the area and the width, so we were finding the length.
• Divide the area by the width.
• 8 $\div$ 2 = 4, therefore the length is 4 cm.
Photograph frame
• We were given the area and the length, so we were finding the width.
• Divide the area by the length.
• 70 $\div$ 10 = 7, therefore the width is 7 cm.
Tile
• We were given the length and the width, so we were finding the area.
• Multiply the length by the width.
• 9 x 8 = 72, therefore the area is 72cm².
Drawer
• We were given the area and the length, so we were finding the width.
• Divide the area by the length.
• 40 $\div$ 8 = 5, therefore the width is 5 cm.
Note paper
• We were given the area and the length, so we were finding the width.
• Divide the area by the length.
• 150 $\div$ 15 = 10, therefore the width is 10 cm.

• ### What is the area of the garden?

Hints

Remember, area = length x width.

This is the length.

This is the width.

So we need to multiply 4 x 3 to find the area.

Solution

To find the area we multiply the length by the width, so we multiply 4 x 3 to get 12.

The area therefore is 12 cm².

• ### Floor plan puzzle.

Hints

To find the length, you need to divide the area by the width.

Remember, the length of the smaller room is half the length of the larger room. You will need this measurement to find the area of the smaller room.

To find the area, multiply the length by the width.

Solution

First, we needed to find the length of the larger room.

To do this, we needed to divide the area by the width.

60 $\div$ 5 = 12.

We then needed the length measurement of the smaller room. We were told this was half the length of the larger room.

The length of the larger room is 12 cm, so we need to halve 12.

12 $\div$ 2 = 6.

Now we have the length and the width of the smaller room, we can multiply them to find the area.

6 x 5 = 30.

The area of the smaller room is 30 cm².