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  1. Perimeter is the distance around the outside of a shape. For example, if you walk around the edge of a playground, you're measuring its perimeter. Area is the amount of space inside a shape. For example, if you want to put new tiles on your kitchen floor, you need to know the area of the room to know how many tiles to buy.

    • Area and Perimeter
    • Area
    • Calculating Area and Perimeter For Different Shapes
    • Units of Measurement

    Perimeter for a 2-dimensional shapeis 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.

    The areafor a 2-dimensional 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.

    Triangle The formulas for calculating the perimeter and area of a triangle ABC are: 1. Perimeter = a + b + c Perimeter = sum of the length of all sides Perimeter = a + b + c 1. Area = 1⁄2× base × height Square 1. Perimeter = 4a ⇒ Perimeter = sum of lengths of all sides Perimeter = a + a + a + a ⇒ Perimeter = 4a 1. Area = a2 ⇒ Area = length × ...

    If all the measurements are in centimeter, the units of measurement for the perimeter and area of different shapes are: 1. Perimeter = sum of sides Thus, the unit of measurement remains the same, as cm 1. Area = product of sides The unit of measurement is unit2 or cm2 Application The concepts of area and perimeter are the basis for understanding Eu...

    • Find the perimeter for each of the shapes below. Add the lengths of each side. Sometimes you have to make assumptions if lengths are not labeled.
    • How do we find the perimeter of this more complicated shape? Solution. Just keep adding those side lengths. 6 + 7 + 4 + 4 + 5 + 6 + 2 = 34 units.
    • Find the circumference of each of the following circles. Leave your answers first in exact form and then in rounded form (to the hundredths place).
    • The radius of the moon is about 1079 miles. What is the circumference? Let’s solve this using both the exact form and the rounded form: Exact Solution.
  2. Area is defined as space or the region occupied by a shape, whereas perimeter is defined as the boundary or the outline of a shape. Two shapes with the same areas can have a different value for the perimeter. The area is measured in square units, whereas the perimeter is measured in linear units.

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  4. Perimeter = 5 cm + 4 cm + 3 cm = 12 cm. Example 2: Calculate the perimeter of the following figure. Solution: The given shape is an irregular pentagon. The perimeter of this pentagon will be given by the sum of all its sides. Perimeter = 2 cm + 3 cm + 3 cm + 4 cm + 5 cm = 17 cm. Example 3: What will be the perimeter of a rectangle with length ...

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