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Area in Square Metres

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Basics on the topic Area in Square Metres

Measuring Area – Floor Area in Square Metres

Finding the area in square metres is very helpful for determining the size of an area. Finding area in square metres is often used to measure medium-sized spaces, like tables or rooms, using the formula area equals length times width. Finding area in square metres can also be very helpful when calculating areas of much larger spaces, such as fields or courts for sports. This text teaches you how to find the area of a rectangular shape and how to use the units of measurement for small and medium-sized areas correctly.

Calculating Area – Definition

What does it mean to calculate area? It means finding out the amount of space taken up by two-dimensional shapes and objects.

Area is the measurement of the inside of a shape. Square metres are common units of measurement used to measure the area that a shape is covering.

Regardless of the units of measurement, in order to work out area in square metres of a two-dimensional shape, one simply needs to know the length and the width of the shape. The area can be found by using the straightforward formula of multiplying the length by the width.

In mathematical terms, the area of a shape is given by the equation A = length × width, where the length and width are measured in consistent units such as centimetres or metres.

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Let’s take a look at some examples of how area is calculated:

Length Width Calculation Area
10 5 10 x 5 50
5 4 5 x 4 20
10 10 10 x 10 100

Whether you're measuring in square centimetres or square metres, it's vital to label your answer with the correct unit of measurement. This communicates the size of the shape clearly. The process of how to work out an area in square metres involves applying simple mathematical principles for different sizes of spaces.

How To Work Out Area in Square Metres

Imagine a rectangular table for a game, with a length of nine metres and a width of five metres. To find the area, we apply the area in square metres formula: length times width (A = l x w), which in this case would be

  • 9 × 5 = 45
  • 9 × 5 = 45 square metres.

Work Out an Area in Square Metres

Let’s have a look at another example. When considering a larger space, such as a sports court with a length of twenty metres and a width of seven metres, we can calculate the area in square metres again. The calculation follows the same principle as the previous example, resulting in

  • 20 × 7 = 140
  • 20 × 7 = 140 square metres.

How To Measure an Area in Square Metres – Summary

The process of finding the area in square metres depends on the size of the object or space being measured. By understanding how to calculate area in square metres, we can accurately determine the inside of a shape using the appropriate units of measurement. Whether it's a table for a favourite game or a court for sports, these principles guide our understanding of space and measurement.

Frequently Asked Questions on the Topic of Area in Square Metres

How do I work out an area in square metres?
Why are measurements important when calculating area of shapes?

Transcript Area in Square Metres

“I just saw the coolest game on tv.I wish we could play.” “What did it look like?” “There was an area with a net and they used this thing to hit a small ball back and forth.” “I think I will surprise Zuri with building her a ping pong table to play her favourite game.” We can help Freddie surprise Zuri by finding area in square metres. Area is the measurement of the inside of a shape. We can find the area of a rectangular shape by making arrays or by using the formula, area equals length times width. When measuring the area of an object, like the size of a ping pong table, we can measure it using the unit metres. Freddie sees the length of a ping pong table is three metres and the width is two metres. To find the area, we will multiply the length times the width, or three by two. What is three times two? Six. The area of the ping pong table will measure six metres squared. It is important to label your answer with the proper unit of measurement since it tells others what type of units we are using. “Surprise!” “What is this?” “Your favourite game?” Freddie is back to the drawing board with Zuri’s surprise. He now realises he needs to make a tennis court, not a ping pong table! We can again find the area in square metres. He sees the length of a tennis court is twenty four metres and the width is ten metres. What do we need to do to find the area? Since we know area is length multiplied by width we need to multiply twenty four times ten. What is twenty four times ten? Two hundred and forty. Freddie will make the tennis court with an area of two hundred and forty metres squared. Remember, including the units of measurement is part of the answer and must be included to communicate the size of the shape. As Freddie tries to surprise Zuri with her new favourite game one more time, let’s review. Remember, area is the measurement of the inside of a shape. It is the amount of space taken up by a two-dimensional object. We can calculate the area of a rectangular shape by using the formula, area equals length times width. To find the area, first identify the length and replace it with the value. Next, identify the width and replace it with the value. Then, multiply the numbers. Make sure to add the correct unit of measurement after the product. Spaces like these can be measured in square metres and so can spaces like these! “Surprise?” “Thank you, Freddie! I love it!” “Ok, now what do we do?” “No clue.”

Area in Square Metres 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 Metres.
  • What is 'area'?

    Hints

    When we measure area, we measure the space within shapes.

    The area is inside the shape.

    Solution

    Area is the measurement of the inside of a shape.

  • How do we calculate the area of a rectangle?

    Hints

    There are two ways that we can calculate the area of a rectangle.

    Counting or multiplying can help you calculate the area of the rectangle.

    If we are multiplying, we need to know the length and the width to find the area.

    Solution

    Here are two ways to calculate the area of a rectangle:

    • make an array
    • multiply the length and width

  • Square metres or square centimeters?

    Hints

    Larger spaces should be measured in square metres.

    Smaller areas should be measured in square centimetres.

    Solution
    • The larger spaces in this question are the park and the football ground. These spaces should be measured in square metres (m²).
    • The smaller sized spaces are the pillow and the book cover. These should be measured in square centimetres (cm²).
  • What are the areas of the arrays?

    Hints

    Count the boxes in the arrays to help you find the area.

    Find the length and width of the array and insert the values into the formula A = l x w

    Solution

    Check your answers with the image above.

  • Find the area of the shape.

    Hints

    The length and width are in metres. Should the area be in square metres or square centimetres?

    Area = length x width

    What does 7 x 5 equal?

    Counting the squares in the array will give you the area of the shape.

    Solution

    The area of this rectangle is 35 m² because 7 m x 5 m = 35 m².

  • Find the area using the dimensions.

    Hints

    The dimensions tell the length and width.

    Area = length x width

    Multiply how long the item is with how wide the item is to find its area.

    Solution

    A = 24 metres squared.

    • dimensions 6 m long 4 m wide
    • dimensions 3 m long 8 m wide
    A = 12 metres squared.
    • dimensions 1 m long 12 m wide
    • dimensions 3 m long 4 m wide
    A = 45 metres squared.
    • dimensions 9 m long 5 m wide
    A = 20 metres squared.
    • dimensions 4 m long 5 m wide
    • dimensions 2 m long 10 m wide