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Don't forget to try our free app - Agile Log , which helps you track your time spent on various projects and tasks, :) Try It Now A square is a regular polygon with four sides. It has four right angles and parallel sides. To calculate the area of a square, multiply the base by itself, which can be expressed as side × side. If a square has a base of length 8 inches its area will be 8 × 8= 64 square inches
Area of a square is given by: A = a2 where a = length of side Perimeter of a square = 4a Example 1: Find the area of a square of side length 15 m Solution: Area of a square = a2 = 152 = 225 m2 Example 2: Calculate the area of square, where the square has 35cm side’s length. Solution: Area of square is defined by a × a. Area = 35 × 35 Area = 1225cm Example 3: What is the area of a square field, if its perimeter is 32 yd? Solution: The perimeter of the square field = 32 yd and since the perimeter of a square is given by P = 4s, where s is the length of the side. We can easily determine the length by isolating s from the formula above: s = P/4 = 32 / 4 = 8 yd The area of the square field = s × s Substitute the value of s, we have: Area = 8 × 8 = 64 yd2 The area of the square field is therefore 64 yd2. Example 4: The side of a square park is 200 m. What will be the cost of grassing it @ $0.5 per sq m? What we need to do, is to find the area of the park then multiply the area by the cost per m2.
A = s² Substitute values and simplify. Area of grassing = area of park = 40,000 sq m. Cost of grassing = area of grassing × rate per sq meter. Substitute values we will get:
Example 5: A square lawn is surrounded by a path 2 m wide around it. If the area of the path is 160 sq m, find the area of the lawn. Solution: Given: A square lawn is surrounded by 2 m wide path; area of path is 160 sq m. External side including path = side of lawn + width of path on both sides. Total area including path = (y + 4) × (y + 4). Since the area of the path is given (160 m2), we have:
A = s² Hence the area of lawn = 324 m2. Online Area Calculator
The area of a square can be understood by how much space a square covers inside it. In simple terms, the space present within the boundary of a square is known as the area of the square. In this article, you shall learn the fundamental parameters of a square. Also, you will study how to find the area of a square, the area of the square formula, and the surface area of a square pyramid. Are we all familiar with what a square is? A square is a closed quadrilateral. Quadrilaterals are figures having 4 sides. Thus square is a four-sided figure which has all four sides equal. If one side of a square is 10 cm, then the other sides are also equal to 10 cm. Let us learn some of the mathematical terms and concepts related to a square first:
Perimeter (square) = s + s + s + s = 4 x s = 4s {where ‘s’ represents the side of a square} In our day-to-day life, we can find squares everywhere. From our homes to our schools, squares are present at each corner. The tiles in your kitchen are square. The chessboard is a square containing 64 black and white smaller squares. The most common example is a Rubrik’s cube. Each surface of a Rubik’s cube is square. Other dimensions, such as the diagonal and the perimeter of the square, can also be used to compute the area of a square. In this article, we’ll try to learn more about the area of the square. Area of SquareThe area of a square is defined as the number of square units required to fill this shape. In other words, when calculating the area of a square, we consider the length of its side. Because all of the sides of the shape are equal, its area is the product of its two sides. The most common units for measuring the area of a square are square meters, square feet, square inch, and square cm. The area of a square can also be calculated using other dimensions, such as the diagonal and the perimeter of the square. On this page, we’ll try to learn more about the area of a square. What is the Area of the Square?A square is a two-dimensional closed shape that has four equal sides and four equal angles. The four angles at the vertices are formed by the square’s four sides. The perimeter of a square is the sum of the total lengths of its sides, and the area of the square is the total space occupied by the shape. It has the following properties as a quadrilateral. The two sides are parallel.
Squares can be found everywhere. Here are some examples of commonly seen square-shaped objects. A square is represented by the chessboard, the clock, a blackboard, and a tile. Illustration: Let us consider a square of length 4 units. Now consider smaller squares of length 1 unit each. As we can see in the figure below, 4 squares of 1 unit fill the first row of the larger square. Similarly, 4 squares of 1 unit fill the second, third and fourth row. Now the larger square is filled. If we count the number of smaller squares, we get that 16 squares of 1 unit fill the square of 4 units. Hence 16 units are the area of the square.  From this, we can deduce that the area of a square is equal to the product of its two sides. As we know, 16 = 4 x 4, and 4 units form one side of the square. In the next section, we will learn and derive the area of a square formula. Area of a Square FormulaFrom the above illustration, we learn that the area of a square is equal to the product of the sides. This can be written as ‘side x side’. Hence the formula for any square with any length of a side is given as Area = (Side)2 Let us look at an example to understand this formula: Example: Find the area of a square with sides of a length of 13 cm. Solution: Given the length of the side = 13 cm The area of square = (Side)2 = (13)2 = 169 cm2. The area of a square is always in square units ( square cm, square m, square inches, etc.) What if we are not provided with the sides of a square but rather we are given the diagonal length? How do we find the area of a square in this case? Don’t worry! The area of the square can be evaluated even if the length of the diagonal is given. You can find the area using the formula written below: Area of square ( using diagonals) = (D)2/2, where D represents the diagonal length. Note: Remember that the square’s diagonals are equal, so the area remains the same if any of the diagonals are given. Example: Find the area of a square when the diagonal length is 13 cm. Solution: We are given, diagonal = 13 cm Area of the square = D2/2 = (13)2/2 = 169/2 cm2 How Do You Find The Area Of A SquareHitherto, we have learned 2 formulas related to finding the area of a square. Let us learn how you will approach the questions related to the area of any square.
Example: Find the area of plastic required to cover a square table of length 8 m. Solution: Given that length of the table = 8 m Therefore the area of plastic required to cover the table = area of the table. Area of table = (side)2 = 82 = 64 m2
Example: Find the area of a square with a diagonal length of 4 cm Solution: Given that length of the diagonal = 4 cm Area of the square = (4)2/2 = 16/2 = 8 cm2 Find Area of Square When the Perimeter of a Square is GivenIn the above sections, we learned how to calculate the area of a square when either the side or diagonal is given. But, suppose you are not provided with any of these parameters, but the perimeter of the square is given. How will you find the area when the perimeter of square is given? Let us find out:
Example: A square garden has a perimeter of 64 cm. Max wants to plant flowers and find the area of this garden but doesn’t know how to do it? Help him figure out the area of the garden. Solution: We know: Perimeter of the garden = 64 cm First, we will figure out the length of the sides of the garden. Using the formula in step 3 Side (s) = perimeter/4 = 64/4 = 16 cm Now, Area of the garden = (s)2 = 162 = 256 cm2 Some tips from our side:Take note of the following factors to keep in mind when you calculate the area of a square. While evaluating the area of a square, we often mistake doubling the number. This is not the case! Keep in mind that the area of a square is not 2 x side. It is always either ‘side x side’ or side2. We must remember to write the area’s unit when representing it. The area of a square is always two-dimensional; hence we use square units. For example cm2, m2, inch2, etc. Frequently Asked Questions1. What is Area of Square in Geometry?Ans. Area of the square in geometry is the measurement of a surface. It is calculated by multiplying the length by the width. 2. What is the Area of a Square Formula?Ans. Area of the square formula is a way to calculate the area of a square. The formula for the area of a square is A = s2, where s represents the length of each side of the square. 3. How Do You Calculate the Area of a Square?Ans. To calculate the area of a square, you need to multiply the length of one side by itself. So if you have a square with sides that are each 10 centimetres long, you’d do: 10 * 10 = 100. 4. What are the Units of the Area of a Square?Ans. The units for the area of a square are squared units. The most common unit for measuring area is square metres, but sometimes you might see square feet or acres as well. 5. What is the Perimeter and Area of Square Formulas?Ans. The formula for the perimeter of a square is: p = 4s The formula for the area of a square is: A = s2 What is the formula to square?Use the formula =N^2, in which N is either a number or the value of the cell you want to square.
What is area formula?Area = length x breadthArea = l × b. Area = π × radius × radiusArea = π × r2(π = 3.14) Using these formulas, area for different quadrilaterals (a special case of polygons with four sides and angles ≠ 90o) is also calculated. Application. The concept of area is the foundation of geometry since the early days.
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How to get the area of a square
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