Calculate area of a square, Mathematics

Assignment Help:

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.

 


Related Discussions:- Calculate area of a square

Operation research, approximate the following problem as a mixed integer pr...

approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0

Operation research, Advantages and disadvantages of operation researchs

Advantages and disadvantages of operation researchs

Where is the bus in relation to the hotel, A bus picks up a group of touris...

A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat

Fundamental theorem of integral facts , Fundamental Theorem of Calculus, Pa...

Fundamental Theorem of Calculus, Part II  Assume f(x) is a continuous function on [a,b] and also assume that F(x) is any anti- derivative for f(x). Hence, a ∫ b f(x) dx =

Determine fog and gof, Let g be a function from the set G = {1,2,3,...34,35...

Let g be a function from the set G = {1,2,3,...34,35,36).  Let f be a function from the set F = {1,2,3,...34,35,36}.  Set G  and F contain 36 identical elements (a - z and 0 - 9).

Construct a venn diagram, In a survey of 85 people this is found that 31 wa...

In a survey of 85 people this is found that 31 want to drink milk 43 like coffee and 39 wish tea.  As well 13 want both milk and tea, 15 like milk & coffee, 20 like tea and coffee

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

Determine the number of combinations, 3 items x, y and z will have 6 differ...

3 items x, y and z will have 6 different permutations however only one combination. The given formular is generally used to determine the number of combinations in a described situ

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd