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Area in Square Centimeters
CCSS.MATH.CONTENT.4.MD.A.3

## What is the Area in Square Centimeters?

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 centimeters (cm²). Therefore, when we are asked to find the area in square centimeters 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 centimeters of the following rectangle is 12 square centimeters. This means that 12 squares, which each measure 1 square centimeter, fit inside that rectangle. ## Finding the Area in Square Centimeters of a Rectangle

We can find the area in square centimeters of an object 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 centimeters 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 Centimeters – Example

Looking at the rectangle from earlier, notice that there are 12 squares inside. This means that the area in square centimeters is 12. We could have also found the same answer using the formula.

A = l x w = 4cm x 3cm =12 cm²

### What is the Area in Square Centimeters of the United States?

To find the area of the United States in square centimeters, we can multiply the area of the United States in square kilometers by 10,000,000,000 to convert square kilometers to square centimeters. The area of the United States in square kilometers is 9,834,000 square kilometers (km²). Therefore, if we want to find the area of the United States in square centimeters, we would calculate it like this:

Area in km² Factor Area in cm²
9,834,000 x 10,000,000,000 98,340,000,000,000,000

Wow!! That’s a huge number!

### Area in Square Centimeters – Summary

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

When finding the area in square centimeters of a rectangle;

• First: ensure that the length and width are in centimeters
• Then: Use the formula area = length x width and multiply the length by the width

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

## Frequently Asked Questions on Area in Square Centimeters

What is the area in square centimeters?
What is the area of a rectangle in square centimeters?
What is the area of a circle in square centimeters?
What is the area of the United States in square centimeters?

### TranscriptArea in Square Centimeters

[Nervous because he doesn’t want to get stung] “Zuri, what are we going to do?” “I don’t think he plans on going anywhere.” “Maybe we can convince him to leave by giving him a nice place of his own?” “Yes, we can build him the perfect place to live!” We can help Zuri and Freddie build their unwanted guest the perfect home by measuring ... “Area in Square Centimeters”. When measuring shapes, we can find the distance around the outside of the shape, called the perimeter... and the amount of space a shape covers on the inside. AREA is the measurement of the INSIDE of a shape. It is the amount of space taken up by an object on a flat surface. We can find the area of a rectangular shape by using the formula, Area equals length times width... or equals times for short. Using this formula and the two measurements we do know, we can solve for unknown parts. Zuri and Freddie found some popsicle sticks in the landfill and decided to make Mr. Bee a lovely fenced-in flower garden! The garden covers ninety-six square centimeters in all... and the garden is eight centimeters wide. The measurement we are missing is the length of the garden. In order to solve, we put all the numbers into the formula... and read this as ninety-six equals the length times eight. To solve for the length, we ask ourselves, what number times eight is equal to ninety-six? (...) Twelve times eight equals ninety-six... so the length is twelve centimeters. Zuri and Freddie found some building blocks and thought these would make a great front porch! The area of the porch measures two hundred fifty square centimeters in all… and the length is twenty-five centimeters. What is the missing measurement? (...) We need to solve for the width. First, we replace the formula with the numbers we know. The equation is two- hundred -fifty equals twenty-five times . To solve for the missing width, we want to ask ourselves (...) 'twenty-five times what number equals two-hundred-fifty?'. What is the width? (...) The width of the porch is ten centimeters. Zuri and Freddie found the PERFECT house...an old box! Look at the dimensions of the area covered in this space. What do we know about the area of the box? (...) We know that the total area covered is seven hundred square centimeters… and the length is thirty-five centimeters. What is the equation for the area of the box? (...) It is seven hundred equals thirty-five times the width. How do we solve the equation? (...) We ask ourselves, 'thirty-five times what number equals seven hundred?' This time, try to find the missing measurement on your own. Pause the video so you have time to work (...) and press play again when you're ready to see the answer! What is the width of the box? It is twenty centimeters since thirty-five times twenty is seven hundred. In the comment section, describe the way you solved this problem. (...) Remember (...) Area is the measurement of the INSIDE of a shape. We solve for the area of a rectangular shape by using the formula, equals times . Replace the measurements in the equation with what we know... and use multiplication strategies to solve for the missing information. "Gee Zuri,(...) I sure am going to miss him!"

## Area in Square Centimeters exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Area in Square Centimeters .
• ### 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 cm$^{2}$
• 6 x 4 = 24; area = 24 cm$^{2}$
• 5 x 3 = 15; area = 15 cm$^{2}$
• 7 x 3 = 21; area = 21 cm$^{2}$
Remember to always write the units, such as cm$^{2}$, 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 cm$^{2}$.
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 cm$^{2}$
Solution

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

12 cm$^{2}$

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

• ### 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 100cm$^{2}$.
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 72cm$^{2}$.
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 cm$^{2}$.

• ### 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 cm$^{2}$.