Rectangle belongs to the family of parallelograms, and parallelograms come under the types of quadrilaterals. The quality of a rectangle is that it has all its internal angles at 90°. The opposite sides of the rectangle are equal, however, the adjacent sides are not necessarily equal.
The area can be characterized as how much space is covered by a level surface of a specific shape. It is estimated as far as the "quantity of" square units (square centimetres, square inches, square feet, and so on) The area of a rectangle is the number of unit squares that can squeeze into a rectangle. A few instances of rectangular shapes are the level surfaces of PC screens, slates, blackboards, and so on.
Area of a Rectangle = (Length × Breadth) square units.
Proof:
Area of Rectangle ABCD = Area of Triangle ABC + Area of Triangle ADC
= 2 × Area of Triangle ABC
= 2 × (1/2 × Base × Height)
= AB × BC
= Length × Breadth
Calculating Area of Rectangle
Follow the steps added below to calculate Area of Rectangle
Step 1: Note the components of length and breadth from the given information.
Step 2: Find the result of length and breadth values.
Step 3: Give the response in square units.
Area of a Rectangle by Diagonal
Diagonal of a rectangle is the straight line inside the rectangle interfacing its contrary vertices. There are two diagonals in the rectangle and both are of equivalent length. We can track down the diagonal of a rectangle by utilizing the Pythagoras theorem.
(Diagonal)2 = (Length)2 + (Breadth)2
(Length)2 = (Diagonal)2 - (Breadth)2
Length = √{(Diagonal)2 - (Breadth)2}
Now, the formula to calculate the area of a rectangle is Length × Breadth. Alternatively, we can write this formula as √{(Diagonal)2 - (Breadth)2} × Breadth.
Area of a Rectangle = Breadth (√{(Diagonal)2 - (Breadth)2}).
Perimeter of Rectangle
Perimeter of a rectangle is the complete distance covered by its limits or the sides. Since there are four sides of a rectangle, along these lines, the perimeter of the rectangle will be the amount of each of the four sides. Since the perimeter is a direct measure, accordingly, the unit of the perimeter of the rectangle will be in meters, centimetres, inches, feet, and so on.
Perimeter of a Rectangle Formula
Perimeter is nothing but boundary. In the above diagram, we have 4 sides. Adding those 4 sides we will get the perimeter of the rectangle.
