perimeter of rectangle
Answers
Perimeter of a Rectangle Formula:
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the height of the rectangle and it is denoted by the alphabet “p”. Let us derive the formula for its perimeter and area.
Suppose a rectangle has length and width as b and a respectively.
Perimeter of a Rectangle:
From the definition of the perimeter we know, the perimeter of a rectangle, p = 2 ( a+b) units
where
“a” is the length of the rectangle
“b” is the breadth of the rectangle
Derivation:
Since, the perimeter is equal to sum of all the sides of the polygon. Hence, in case of rectangle, the perimeter (P) is;
P = sum of all its four sides
P = a+b+a+b (Opposite sides of rectangle are equal)
P = 2(a+b)
Hence, derived.
Therefore,
Perimeter of a rectangle = 2(Length + Width) square unit
Now let us write the formula for the area of a rectangle, with respect to same above given figure;
Area of a rectangle = Length × Width = a × b
Answer: