Page 2 - LN 2

Perimeter of a Square = 4a
= 4 × 16
= 64 cm
A rectangle is a quadrilateral which has two pairs of parallel sides equal and all the four angles at
the vertices are right angles.

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 length 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.

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
Since the perimeter is equal to the sum of all the sides of the polygon. Hence, in the case of a
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)

Therefore,

Perimeter of a rectangle = 2(Length + Width) units