Area and Perimeter
Keywords: perimeter, area, rectangle, unit squares, square, triangle, practice, math, sides
Perimeter for a 2dimensional shape is the total distance around the respective shape. For the figures with straight sides such as triangle, rectangle, square or a polygon; the perimeter is the sum of lengths for all the sides.
The peripheral border in blue is the perimeter of the park.
Area
The area for a 2dimensional shape is the space enclosed within the perimeter of the given shape. To calculate the area for different shapes, use different formulas based on the number of sides and other characteristics such as angles between the sides.
The area for the park is shown in dark green color.
Calculating area and perimeter for different shapes
Triangle
The formulas for calculating the perimeter and area of a triangle ABC are:
 Perimeter = a + b + c
⇒ Perimeter = sum of the length of all sides
⇒ Perimeter = a + b + c
 Area = ^{1}⁄_{2} × base × height
Square
 Perimeter = 4a
⇒ Perimeter = sum of lengths of all sides
⇒ Perimeter = a + a + a + a
⇒ Perimeter = 4a
 Area = a^{2}
⇒ Area = length × breadth
⇒ area = a × a
⇒ area = a^{2}
Rectangle
 Perimeter = 2 (l + b)
⇒ Perimeter = sum of lengths of all sides
⇒ Perimeter = l + b + l + b
⇒ Perimeter = 2 × (l + b)
 Area = l × b
⇒ Area = Area (ABC) + Area (ADC)
⇒ Area = 2 × Area (ABC)
⇒ Area = 2 × (^{1}⁄_{2} × base × height)
⇒ Area = base × height
⇒ Area = l × b
Units of measurement
If all the measurements are in centimeter, the units of measurement for the perimeter and area of different shapes are:
 Perimeter = sum of sides
Thus, the unit of measurement remains the same, as cm
 Area = product of sides
The unit of measurement is unit2 or cm2
Application
The concepts of area and perimeter are the basis for understanding Euclidean geometry and calculating the volume of solid shapes in 3dimensional space such as cones, prism, sphere, and cylinder. Also, we use these formulas for calculating the area and perimeter for quadrilaterals and polygons comprising of sides and curves. The reallife utility of the concept is in several fields such as mapping, architecture, and surveying. The geometric representation of figures is done by sketching the distances and areas for clear understanding.
Threedimensional objects derived from 2dimensional shapes and land surveying in fields.
Fun Facts
