Calculate area of a square, Mathematics

The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is given by side times side. If s is the measure of one side of a half times, product of diagonals, square, then its area can be written as A= s x s = s²

If we know the measure of the diagonal of the square then the area is given by half times the product of the diagonals. But in a square since the diagonals are equal, the formula for area can be written as half times d times d which can be written as A= ½[dxd] = ½ (d²). The unit for area is always measured in square units.

The adjacent figure represents a square whose side is s and the diagonal is d. s   d

Now let us consider a problem for example:

1.      Find the area of a square whose side is 5cm.

               Solution:

                   Since the side is given as 5cm, A= sxs  = 5x 5 = 25 sq cm.

2.      Find the area of a square whose diagonal is given as 6 cm.

Solution:

The area of square given diagonal is = ½ (d²) = ½ [6x6]

                                                                 = 36/2 =18sqcm.

 

Posted Date: 7/23/2012 3:53:10 AM | Location : United States







Related Discussions:- Calculate area of a square, Assignment Help, Ask Question on Calculate area of a square, Get Answer, Expert's Help, Calculate area of a square Discussions

Write discussion on Calculate area of a square
Your posts are moderated
Related Questions
Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

number of consonants to the number of letters in the English Alphabet express answer in ratio

Standard Hypothesis Tests In principal, we can test the significance of any statistic related to any type of probability distribution. Conversely we will be interested in a few

How should Shoppers’ Stop develop its demand forecasts?

The following (artificial) data record the length of stay (in days) spent on a psychiatric ward for 28 consecutive patients who have been sectioned under the mental health act, cla

Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and

Q. What is Addition Rule of probability? Ans. Suppose there are 17 girls and 15 boys in your stats class. There are 17 + 15 = 32 ways for your teacher to pick one student

Chain Rule : We've seen many derivatives.  However, they have all been functions similar to the following kinds of functions. R ( z ) = √z      f (t ) = t 50

From a sheet of cardboard in the shape of a square of side 14 cm, a piece in the shape of letter B is cut off. The curved side of the letter consists of two equal semicircles & the