Ch 6 of Ganita Prakash covers Perimeter and Area, two fundamental concepts in measurement (mensuration). Perimeter is the total distance around the boundary of a shape, while area is the amount of surface enclosed within the boundary. These concepts have practical applications in fencing a garden, tiling a floor, or painting a wall.
The perimeter of a shape is the total length of its boundary. To find the perimeter, add up the lengths of all sides. For regular shapes, there are shortcut formulas: the perimeter of a rectangle is 2(l + b) and the perimeter of a square is 4s, where l is length, b is breadth, and s is the side length.
Area measures the surface covered by a shape, expressed in square units (cm², m²). You can estimate area by counting unit squares on a grid. For rectangles, area = length × breadth. For squares, area = side². For irregular shapes, count full squares, half squares, and more-than-half squares on a grid.
The area of a triangle is half the area of the rectangle it fits in: Area = ½ × base × height. The base can be any side, and the height is the perpendicular distance from the base to the opposite vertex. This formula works for all types of triangles — equilateral, isosceles, and scalene.
Perimeter is used when you need to find how much material is needed to go around a shape — like fencing a field or putting ribbon around a gift box. Area is used when you need to know how much space a shape covers — like tiling a floor, painting a wall, or measuring land. These are among the most practically useful concepts in mathematics.
Download the official NCERT PDF for Ch 6 "Perimeter and Area" from the NCERT website: https://ncert.nic.in/textbook/pdf/fegp106.pdf. You can also download the complete Ganita Prakash textbook: https://ncert.nic.in/textbook/pdf/fegp1ps.zip
Perimeter is the total length of the boundary of a shape (measured in cm, m, etc.), while area is the amount of surface enclosed within the boundary (measured in cm², m², etc.). Perimeter is a 1-dimensional measurement; area is 2-dimensional.
Yes! For example, a 4×4 square (area = 16 cm², perimeter = 16 cm) and a 2×8 rectangle (area = 16 cm², perimeter = 20 cm) have the same area but different perimeters.
Area measures how many unit squares (1 cm × 1 cm, or 1 m × 1 m) fit inside a shape. Since we are measuring a 2-dimensional surface, the unit is also 2-dimensional: centimetre squared (cm²) or metre squared (m²).
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