how do you find the area of a square
Area of a square is defined as the number of foursquare units needed to fill a foursquare. In full general, the area is defined as the region occupied inside the purlieus of a apartment object or 2d effigy. The measurement is done in square units with the standard unit beingness square meters (thousand2).
For the ciphering of area, there are pre-defined formulas for squares, rectangles, circles, triangles, etc. In this article, you will learn most the area of a foursquare.
What is Area?
The area is the space covered by the object. It is the region occupied by any shape. While measuring the surface area of a square, nosotros consider merely the length of its side. All the sides of a square are equal and hence, its surface area is equal to the square of side.
Similarly, we can find the area of the other shapes such as rectangle, parallelogram, triangle or any polygon, based on its sides. Area of the surface is calculated based on the radius or the distance of its outer line from the axis for curved surface objects.
Example: circle
Learn more: What is mathematics?
Surface area of a Square Formula
Before getting to the expanse of square formula used for calculating the region occupied, let united states try using graph paper. Y'all are required to observe the expanse of a side 5 cm. Using this dimension, draw a square on a graph paper having 1 cm × ane cm squares. The foursquare covers 25 complete squares.
Thus, the area of the square is 25 square cm, which can be written equally 5 cm × five cm, that is, side × side.
From the higher up give-and-take, it tin be inferred that the formula can requite the surface area of a foursquare is:
Area of a Square = Side × Side
Therefore, the expanse of square = Sideiisquare units
and the perimeter of a foursquare = 4 × side units
Here some of the unit conversion lists are provided for reference. Some conversions of units:
- one 1000 = 100 cm
- 1 sq. m = 10,000 sq. cm
- i km = 1000 m
- 1 sq. km = 1,000,000 sq. m
Expanse of a Square Sample Problems
Example ane:
Discover the area of a square clipboard whose side measures 120 cm.
Solution:
Side of the clipboard = 120 cm = 1.2 1000
Area of the clipboard = side × side
= 120 cm ×120 cm
= 14400 sq. cm
= ane.44 sq. m
Example 2:
The side of a foursquare wall is 75 m. What is the toll of painting it at the rate of Rs. 3 per sq. m?
Solution:
Side of the wall = 75 thou
Area of the wall = side × side = 75 1000 × 75 one thousand = 5625 sq. m
For i sq. m, the cost of painting = Rs. 3
Thus, for 5625 sq. m, the cost of painting = Rs. 3 × 5625 = Rs 16875
Example 3:
A courtyard's floor which is l m long and 40 g wide is to be covered by square tiles. The side of each tile is ii m. Observe the number of tiles required to cover the flooring.
Solution:
Length of the floor = 50 one thousand
The breadth of the floor = 40 yard
Expanse of the floor = length × breadth = 50 yard ×xl g = 2000 sq. m
Side of one tile = 2 1000
Expanse of one tile = side ×side = 2 m × two grand = 4 sq. thousand
No. of tiles required = area of floor/area of a tile = 2000/iv = 500 tiles.
Practice Problems
- A foursquare wall of length 25 meters, has to exist painted. If the cost of painting per square meter is ₹ iv.fifty. Notice the cost of painting the whole wall.
- Find the length of a square park whose area is 3600 square meters.
- Find the surface area of the foursquare whose length of the diagonal is five√2 cm.
Ofttimes Asked Questions on Area of Foursquare
What is the surface area of a square?
As we know, a square is a two-dimensional effigy with four sides. It is as well known as a quadrilateral. The area of a square is defined as the total number of unit squares in the shape of a square. In other words, it is defined as the space occupied past the foursquare.
Why is the area of a square a side foursquare?
A square is a 2D effigy in which all the sides are of equal measure. Since all the sides are equal, the area would exist length times width, which is equal to side × side. Hence, the area of a square is side foursquare.
What is the area of a square formula?
The area of a foursquare tin can exist calculated using the formula side × side square units.
How to find the area of a square if diagonal is given?
If the diagonal of a square is given, then the formula to calculate the area of a square is:
A = (½) × dtwo square units.
Where "d" is the diagonal
What is the perimeter and the area of a square?
The perimeter of the square is the sum of all the four sides of a square, whereas the expanse of a square is defined as the region or the space occupied by a square in the two-dimensional space.
To learn and practice more problems related to the area of a square, download BYJU'S-The Learning App.
Source: https://byjus.com/maths/area-of-square/
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