Area of a Square Calculator
Area of Square -To calculate the area of a square, multiply the base by itself, which can be expressed as side × side.
Here are some samples of Area of a Square calculations
- Area of a Square 5 yd
- Area of a Square 8 m
- Area of a Square 4 cm
- Area of a Square 9 in
- Area of a Square 6 ft
- Area of a Square 7 cm
- Area of a Square 3 in
- Area of a Square 2 in
- Area of a Square 3 m
- Area of a Square 2 cm
- Area of a Square 5 in
- Area of a Square 7 ft
- Area of a Square 6 ft
- Area of a Square 9 in
- Area of a Square 4 cm
- Area of a Square 8 yd
- Area of a Square 4 ft
- Area of a Square 9 m
- Area of a Square 6 yd
- Area of a Square 7 m
- Area of a Square 51 ft
- Area of a Square 40 in
- Area of a Square 32 cm
- Area of a Square 56 cm
- Area of a Square 85 ft
- Area of a Square 86 cm
- Area of a Square 72 ft
- Area of a Square 64 yd
- Area of a Square 10 ft
- Area of a Square 90 cm
- Area of a Square 32 yd
- Area of a Square 27 cm
- Area of a Square 31 in
- Area of a Square 28 in
- Area of a Square 53 m
- Area of a Square 17 yd
- Area of a Square 27 cm
- Area of a Square 34 ft
- Area of a Square 38 m
- Area of a Square 23 m
A square is a flat shape of four equal-length sides, having a right angle of 90° on each side. Each side is opposite and parallel to each other. The breadth and length of the square are equal. The area of a square is the total portion that is within the equal sides. It is the empty space within the boundary of a square. The area is calculated to measure the quantity of the object that is required to be filled within the void portion of the four enclosed sides. The area of a square is measured by multiplying the size of each side.
This small calculator is devised to calculate the area of a square. It is a free online tool to automatically know the area that is being asked in the given question.
The formula for Area of a Square
The universal formula to calculate the area of a square is-
a²= a*a, where a is equal to the side of the square.
To measure the area of a square, we need to know the length of its sides. All four sides have equal lengths. They are designated by the unit’s measure or centimeter.
Calculating the Area of a square
The steps required to calculate the area are-
Step 1- Note down the length of sides given in the question
Step 2- Designate the length as ‘a’
Step 3- Write the formula- a²= a*a
Step 4- insert the values given in the question in the way as written in the formula.
Step 5- multiply the given sides.
Step 6- The required results are obtained as a²
Examples of Finding the Area of a Square
Example 1- Find the area of a square whose side is 85 cm²
Solution-
Step 1- the given side as ‘a’ is 85 cm.
Step 2- a²=a*a
Step 3- 85*85= 7225
Step 4- The area of the square is 7225 cm²
Example 2- We may be asked to find the side of the square. For Example, Find the side of a square whose area is 625 m².
Solution-
Step 1- area= 625 m²
Step 2- a²= √a*a
Step 3- 625= √25
Step 4- the side of the square is 25
Example 3- The percentage of change in the measure of an area can be asked. For example, If each side of a square is increased by 25%, find the percentage change in the area.
Solution-
Let the side of the square be ‘a’. Then, area= a²
New side= 125a/100= 5a/4.
New area= 25a²/16
Increase in the area= (25a²/16 - a²) = 9a²/16
Increase % = 9a²/16 * 1/a² * 100) % =56.25%
Frequently Asked Questions
Q. What is the requirement to know the area of a square?
A. If the shape of a room is in a square shape, it is necessary to know the area for estimating the total cost of that room.
Q.Is square a polygon?
A. A square is a regular polygon of four sides
Q. Can the area of the diagonal of a square be calculated?
A. The diagonal of the square can be calculated. Its formula is a²= ½(diagonal) ².
Q. If the length of any one side of the square is changed, will the shape remain unchanged?
A. No, the shape of the square will change. It can then be formed into a rectangle.