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What is Area of a Square?
The space occupied by the swimming pool below can be found by finding the area of the pool.
Or we can calculate the area of a square field to find the number of saplings to be planted. We measure the area in square units.
By finding the number of unit squares that are required to fill a shape, we can find its area. The total number of unit squares in a shape give its area.
Consider a square of each side 3 cm long. It can be filled with 3 rows and 3 columns of unit squares.
The square can be shown on top of a 10 x 10 grid with shaded inside the square.
Area of each unit square = 1 sq. cm
No. of squares = 3 x 3 = 9
So, total area = 9 sq. cm
In other words, the area of a square is the product of the length of each side with itself. That is, Area A = s x s where s is the length of each side of the square.
For example, the area of a square of each side of length 8 feet is 8 times 8 or 64 square feet.
Let us solve another example. A square shaped chocolate cake in needs chocolate icing on top. If each side of the cake is 18 inches long, what is the area of the cake that needs icing?
A simple square chocolate cake, preferably the vertical sides covered with colorful gems/kitkat
The area covered in chocolate icing is equal to the area of the square on top of the cake.
Length of each side = 18 in.
Area = 18 x 18 = 324 sq. in.