Area of a Square
In this lesson, we will learn about the area of a square.
About This Lesson
In this lesson, we will:
Learn about the formula for the area of a square.
See an example on using the formula to find a square's area
See another example on using the formula to find the length of the sides (edges).
below will explain more.
A square has four right angles and all the sides of a square have the same length.
Now, if the length of each side is
, the area,
of the square will be:
The math video below will give more explanations on this. Also, we will see some examples on how to use the formula.
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Math Video Transcript
00:00:03.180 In this lesson, we will learn about the area of a square. 00:00:08.180 Consider this square. All the sides of this square have the same length, L. 00:00:16.050 Now, we can get the area of this square, A, by multiplying both of these length L together. 00:00:23.130 With this, we get the area, A, equals to L multiply by L. This gives L square. 00:00:31.230 Note that, we also must include the unit. Since we are multiplying these 2 lengths together, the unit for the area will be in the form of square unit. 00:00:42.070 We will see the explanations on this, in the upcoming example. 00:00:47.040 Now, Let’s see some examples on using this formula. 00:00:52.070 Find the area of this square when the length of each side is 3cm. 00:00:58.150 To do so, we start with the formula for the area of a square, A equals to L square. 00:01:05.150 Since the length of each side is 3 cm, we can substitute L with 3. 00:01:11.160 This gives 3 square. 00:01:14.160 Now, let's simplify 3 square. 3 square is actually the same as, 3 multiply by 3, which is 9. 00:01:26.160 Let's write down this number. 00:01:30.030 Now, this number is meaningless unless we include the unit for it. 00:01:35.030 Since the length is given in centimeter, the unit for the area will be in square centimeter. 00:01:41.230 Therefore, the area of this square is 9 square centimeter. 00:01:48.210 Next example, given that the area of this square is 4 square feet, find the length of each side. 00:01:56.190 Now, we start with the formula for the area of a square, A equals to L square. 00:02:03.180 Since the value of the area is given, we can find the length of each side, by solving the equation for L. 00:02:11.060 Here’s how. Since the area is given as 4 square feet, we can substitute A with 4. 00:02:19.170 Now, we have, L square equals to 4. 00:02:24.020 Let's rewrite this equation so that it will look neater. 00:02:28.150 To find L, we can see that since 4 is equals to L square, L can be found by calculating the square root of 4. 00:02:38.020 Square root of 4 is 2. 00:02:41.150 Now this number has no meaning unless we include the unit for it. 00:02:47.030 Since the area is given in square feet, the side of the square will be in feet. 00:02:53.170 Therefore, the length of each side of the square is 2 ft. 00:03:00.010 That is all for this lesson. Try out the practice question to further your understanding.
Practice Questions & More
Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.
You can start by going through the series of
questions on the area of a square
or pick your choice of question below.
on finding the area of a square
on finding the length of the sides of a square
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