How To Find The Area Of A Square?

how to find the area of a square

After completing high school, do you remember how to find the area of a square? In geometry, a square is a two-dimensional closed shape that consists of 4 equal sides and vertices. You’ll find many objects similar to the square shape such as a chessboard, craft papers, bread slices, or a pizza box. In today’s article, I will show you how to find the area of a square. It is very easy to find the area of a square if you know the length of its sides, perimeter, or diagonal. Without wasting much time, let us now find out how to find the area of a square.

How To Find The Area Of A Square?

You can easily learn how to find the area of a square by using the following methods.

  1. By Using The Length Of A Side
  2. By Using The Diagonal Side
  3. By Using The Perimeter

One of the easiest ways to find the area of a square is by using the area of the square formula. The area and perimeter of a square are two different terms. The area represents the space occupied by a shape. You can keep on reading to learn more about how to find the area of a square.

Find The Area Of A Square By Using The Length Of A Side

A square has 4 sides with equal lengths. The area of any square-shaped surface can be calculated by using the following formula:

Area = (Side)

You can follow these steps to learn how to find the area of a square with one side.

  1. First, write down the side length of a square in centimeters.
  2. If the value is not given, use a ruler to know the side length.
  3. Put the value in the area of the square formula.
  4. Make sure you write your final answer in square units.

Squaring the side of a square is the same thing as multiplying the square sides. Remember that the area of a square is always in square cm, square m, or square inches.

Find The Area Of A Square By Using The Diagonal Side

A straight line joining two opposite corners of a square shape is diagonal. When the diagonal is given, it is easier to find the area of a square. Follow these steps if you want to learn how to find the area of a square by its diagonal.

  1. First, take the measurement of the diagonal of the square.
  2. Recall the formula for the area using a known diagonal: Area = (diagonal2)/2.
  3. Substitute the value of the diagonal in this formula.
  4. You can either multiply or square the length of the diagonal.
  5. Then, divide the current value by 2.

Thus, the final value you obtained is the area of the square. 

Find The Area Of A Square By Using The Perimeter

Sometimes, you are not provided with the sides or diagonals of the square but the perimeter of the square is given. If you want to learn how to find the area of a square with the perimeter, follow these steps.

  1. First, write down the perimeter of a square in centimeters.
  2. Recall the perimeter of the square formula: P= 4 x side (a).
  3. As you know the perimeter of the square, let us modify this formula.
  4. Simply divide the perimeter by 4 to find the length of a side.
  5. The formula will now become side = P/4.
  6. Substitute the value of P in this formula to get the value of side (a).
  7. Now that you know the length of a side, you can get the area of the square.
  8. Continue the calculation by multiplying the length of the side by itself.

The final answer you get is the area of a square whose perimeter was given.

Note: You can use the same perimeter formula if you want to know how to find the perimeter of a square.

You can keep on reading to learn how to find the area of a square pyramid.

Find The Area Of A Square Pyramid

Finding the area of a square pyramid is easy if you know the correct formula. You can follow these steps if you want to learn how to find the surface area of a square pyramid.

  1. First, write down the side length and the slant height of the square pyramid in centimeters.
  2. If the value is not given, use a ruler to know the side length.
  3. Recall the area of a square pyramid formula: SA = s2 + 2sl.
  4. Substitute the value of s and l in this formula.
  5. Here, find the area of the square base s2 first.
  6. Then, calculate the total area of the four triangular faces.
  7. Now, add these two separate values together to get the surface area of a square pyramid.

Make sure you go step-by-step to get the accurate value.

Now, you must be wondering how to find the surface area of a square. When the length of the side is known, you can use this formula to get the surface area of a square: SA = 6a2.

Find The Area Of A Rectangle

By far, I hope you have understood how to find the area of a square. In a rectangle, the opposite sides are equal and also parallel to each other. Do you know how to find the area of a rectangle? When the length and breadth of the rectangle are known, you can use this formula to get the area: 

Area = (Length x Breadth) square units

You can even use the Pythagoras theorem to get the area of a rectangle.

Find Perimeter Of A Square With The Area

Most students don’t know how to find the perimeter of a square with the area. The terms perimeter and area of a square are related to connected to each other. With the Perimeter = (√area) x 4 units formula, you can find the perimeter of a square using the area.

Read more about different topics on Fyndblog

FAQ

How Do We Find The Area Of A Square?

The area of a square is equal to (side) × (side) square units. The area of a square when the diagonal, d, is given is d2÷2 square units. For example, The area of a square with each side 8 feet long is 8 × 8 or 64 square feet (ft2).

What Size Is A Square?

One square is equal to 100 square feet. Examples where the unit is used are roofing shingles, metal roofing, vinyl siding, and fibercement siding products. Some home builders use squares as a unit in floor plans to customers.

Why Is Area Unit Square?

Why is Area Expressed in Square Units? The area of a shape is the number of unit squares required to completely cover it. Therefore, it is measured and expressed in square units.

How Do You Find The Perimeter And Area Of A Square?

Area of a Square = side × side = side² square units
where “s” is the length of one side. Hence, the perimeter of square will be: Perimeter = 4 x side = 4 √Area units. Thus, we can find the perimeter of a square given its area.

Conclusion

In the above post, I’ve explained how to find the area of a square. The most common way to get the area of a square is by using the length of its sides. The area of a square is equal to the product of the sides i.e. Area = (Side)2. However, the area can also be evaluated even if the length of the diagonal or perimeter is given. You can even use the online area of a square calculator to get the correct answer to your problem. By learning how to find the area of a square, you can approach the questions related to the area of any square!

 

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