 # Perimeter and Area

## The length of the boundary of a closed region is called its perimeter. Perimeter of any regular polygon with n sides is equal to n × (length of a side). Perimeter of a quadrilateral with sides measuring a, b, c and d is equal to a + b + c + d. Perimeter of a rectangle = 2(length + breadth) Perimeter of a square = 4 × length of each side Perimeter of a triangle is equal to the sum of its all three sides. Perimeter of a parallelogram with two opposite sides measuring a and b is equal to 2(a + b). Area of any regular polygon is the amount of the surface (region) enclosed by its boundary. Area of a rectangle = length × breadth Area of a square = (Side)2 Area of a parallelogram with base a and height b is equal to (a × b). Triangles formed in a rectangle are exact copies of each other therefore they are congruent. Hence, equal in area. Area of each triangle = (1/2) × base × height When we cut the diagonal of a square we get four congruent triangles. Area of each triangle = (1/4) × area of square Circumference is a kind of perimeter. It is the distance around a circular region. Circumference of a circle = πd = 2πr, where d is the diameter and r is the radius of the circle. Area of a circle = πr2, where r is the radius of the circle. Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors. For example: 1 hectare = 104 m2 Area of rectangular path = Area of outer rectangle – Area of inner rectangle

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