Skip to main content

Mensuration: Rectangle

MENSURATION: RECTANGLE


In mathematics, a rectangle represents a closed geometrical shape which has four sides and four right angles, right angle means 90 degrees.

Properties of Rectangle

  1. l is the length and w is the width of the rectangle
  2. d is the diagonal of the rectangle
  3. All internal angle is 90 degree
  4. Parallel side are equal

Important Formula for Rectangle

Area Of Rectangle (A)

Area(A) = Length(l) X Width(w)
Example: Calculate the area of whose length is 4cm and with is 3cm
Given: Length(l) = 4cm
            Width(w) = 3cm
Formula:
           Area(A) = Length(l) X Width(w)
           Area(A) = 4cm X 3cm
          Area(A) = 12 cm^2
Area of given rectangle is 12 cm^2

Perimeter of Rectangle(P)

Perimeter(P) = 2 x (Length(l) + Width(w))
Example: Calculate the perimeter of whose length is 4cm and with is 3cm
Given: Length(l) = 4cm
            Width(w) = 3cm
Formula:
            Perimeter(P) = 2 x (Length(l) + Width(w))
            Perimeter(P) = 2 x (4cm + 3cm)
            Perimeter(P) = 2 x 7cm
            Perimeter(P) = 14 cm  
The perimeter of the given rectangle is 14 cm

Diagonal of Rectangle(D)

Diagonal(D) = Sqrt(Length(l)^2 + Width(w)^2)
Example: Calculate the diagonal of whose length is 4cm and with is 3cm
Given: Length(l) = 4cm
            Width(w) = 3cm
Formula:
            Diagonal(D) = Sqrt(Length(l)^2 + Width(w)^2)
            Diagonal(D) = Sqrt(4cm^2 + 3cm^2)
            Diagonal(D) = Sqrt(16cm^2+9cm^2)
            Diagonal(D) = Sqrt(25cm^2)
            Diagonal(D) = 5cm
Diagonal of given rectangle is 5 cm

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.


Labels:

Comments

Post a Comment

Popular posts from this blog

Average

Average In this post, We will learn about average.  Average of any collection of data is the sum of data divide by number of data. Average = (Sum of observations /  Number of observations) Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.  problems The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u=(x+y)/2 and v=(y+z)/2. If x ≥ z, then the minimum possible value of x is (CAT 2018) As specified in the question mean of x and y and z is 80 x+y+z=3*80 mean of x, y, z,u,v is 75 x+y+z+u+v=75*5 2u=x+y 2v=y+z x+y+z+((x+y+y+z)/2)=75*5 y+3(x+y+z)=75*10 y=750-720 y=30 since x+y+z=240 y=30 so x+z=210 since x>=z so minimum value of x=210/2 = 105 Problem2: In first 5 inings sehwag has scored at average of 40. In sixth ining He had scored 52 what is His average after 6th ining. one simple approach is getting total score divided by no of inin...
Post a Comment
Read more

Set Theory

Set Theory Set Theory is a branch of mathematics in which we study about sets and their properties. Georg Cantor (1845-1918), a German mathematician, initiated the concept ‘Theory of sets’ or ‘Set Theory’. He was working on “ Problems on Trigonometric Series ” when he encountered something that had become the most fundamental thing in mathematics. Set theory is the fundamental theory in mathematics. Without sets, it is not possible to explain relations, functions, sequences, probability, geometry etc. Apart from this, Cantor also conceptualized that some of the infinities are countable and others are uncountable. He introduced the fact that the uncountable infinite set of real numbers is larger than the countable infinite set of integers. This is known as Cantor’s diagonal argument. Let us now go ahead and learn the meaning of sets in maths. Sets: To understand sets, consider a practical scenario. While going to school from home, Nivy decided to note down the ...
Post a Comment
Read more

Conditional Statements in C

Conditional Statements In c programming language, decision making is used to specify the order in which statements are executed. In C we use conditional statements to achieve this. There can be any type of control structures. In our daily life, these kinds of control structures generally achieve or used in our decision-making process. Control Structures types. If then            If I exercise daily then I will be fit If else             If today rains then I will play FIFA else I will not play FIFA. else if      In programming, we use a conditional statement to make decisions in the same way as in real life. If Statement Example if the expression it true evaluate the statement. if (expession) { statement } C example. You have given a number, check if the number is positive print Positive on the terminal. if (number > 0) { printf("Positive"); } ...
1 comment
Read more