Rectangle | Definition of Rectangle Type of Rectangle | Formula of Rectangle
Rectangle We are start today online tutoring about Rectangle. Today “Tutor Dose” is Rectangle. In previous Dose (lesson) we had read about Triangle. We read today in Tutor Dose about Rectangle definition, Type of Rectangle and Formula of Rectangle. This is also very important chapter for point of view of examination. So read this lesson carefully.
Rectangle is a 2D (Two dimensional) shape. Rectangle is a quadrilateral.┬а
Rectangle
Definition of Rectangle in Easy Words
“A figure which are enclosed by four sides, whose┬аone angle is right angle, called Rectangle.”
Rectangle is a plan two dimensional geometric shape. It has only┬аLength and┬аBreadth.
┬а
Features/Properties of Rectangle
- A Rectangle has four sides
┬а┬а ┬аSide : AB, BC, CD and DA
- Opposite sides are equal in a Rectangle.
┬а ┬а AB = DC
┬а ┬а BC = AD
- Opposite sides are parallel in a Rectangle.
┬а ┬а AB┬аредред DC┬а
┬а ┬а BC┬аредред AD
- A Rectangle has four┬аvertex.
┬а ┬а A, B, C and D
- A rectangle has four angle.
┬а ┬а┬атИаA or┬атИаDAB
┬а ┬а┬атИаB or┬атИаABC
┬а ┬а┬атИаC or┬атИаBCD
┬а ┬а┬атИаD or┬атИаADC
- All four angle are right angle.
┬а┬а ┬атИаA or┬атИаDAB = 90┬░
┬а ┬а┬атИаB or┬атИаABC = 90┬░
┬а ┬а┬атИаC or┬атИаBCD = 90┬░
┬а ┬а┬атИаD or┬атИаADC = 90┬░
- Opposite angle are equal in a Rectangle or all angle are equal.
┬а┬а ┬атИаDAB =┬атИаABC =┬атИаBCD =┬атИаADC = 90┬░
- Sum of all four angles are 360 degree.
┬а ┬а┬атИаA +┬атИаB +┬атИаC +┬атИаD = 360┬░
┬а ┬а or
┬а┬а ┬атИаDAB +┬атИаABC +┬атИаBCD +┬атИаADC = 360┬░
- Sum of┬аadjacent angles are 180 degree.
┬а ┬а Adjacent angle of┬атИаA are┬атИаB and┬атИаD
┬а ┬а┬атИаA +┬атИаB = 180┬░
┬а ┬а┬атИаA +┬атИаD = 180┬░
┬а ┬а┬аAdjacent angle of┬атИаB are┬атИаA and┬атИаC
┬а ┬а┬атИаB +┬атИаA = 180┬░
┬а ┬а┬атИаB +┬атИаC = 180┬░
┬а ┬а┬аAdjacent angle of┬атИаC are┬атИаB and┬атИаD
┬а ┬а┬атИаC +┬атИаB = 180┬░
┬а ┬а┬атИаC +┬атИаD = 180┬░
┬а ┬а┬аAdjacent angle of┬атИаD are┬атИаA and┬атИаC
┬а ┬а┬атИаD +┬атИаA = 180┬░
┬а ┬а┬атИаD +┬атИаC = 180┬░
- A Rectangle has two diagonal.
┬а ┬а AC and┬аBD
- Both diagonal are equal.
┬а ┬а AC = BD
- Both diagonal divide each other in to equal parts.
┬а ┬а BO = DO = AO = CO
- We can say Rectangle is a Parallelogram, because it’s opposite site are equal and parallel. But Parallelogram is not a Rectangle, because all angle is not right angle in Parallelogram.
Important Formula of Rectangle
- Area of Rectangle = Length┬а├Ч Breadth
┬а ┬а (when length and breadth are given in question and ask for area of Rectangle)
- Length of Rectangle = \(\displaystyle \frac{{Area}}{{Breadth}}\)
┬а┬а ┬а(when Area and┬аBreadth┬аare given in question and ask for Length of Rectangle)
- Breadth of Rectangle = \(\displaystyle \frac{{Area}}{{Length}}\)
┬а ┬а┬а(when Area and Length┬аare given in question and ask for┬аBreadth┬аof Rectangle)
- Diagonal of Rectangle = \(\displaystyle \sqrt{{{{{\left( {Length} \right)}}^{2}}+{{{\left( {Breadth} \right)}}^{2}}}}\)
┬а ┬а (When Length and Breadth are given in question and ask for Diagonal)
- Perimeter of a Rectangle = 2 ├Ч┬а(Length┬а+ Breadth)
┬а ┬а (When length and breadth are given in question and ask for Perimeter)
- Length of Rectangle = \(\displaystyle \frac{{Perimeter}}{2} тАУ Breadth\)
┬а ┬а (When Perimeter and Breadth are given in question and ask for Rectangle Length)
- Breadth of Rectangle = \(\displaystyle \frac{{Perimeter}}{2} тАУ Length\)
┬а ┬а (When Perimeter and Length are given in question and ask for Rectangle Breadth)
