Perimeter

The perimeter is the distance around the outside of the object.

To determine the perimeter, just add the lengths of the sides together.

Examples:

1.
Perimeter image 1

Perimeter = 5 m + 13 m + 15 m + 18 m

Perimeter = 18 m + 15 m + 18 m

Perimeter = 33 m + 18 m

Perimeter = 51 m




2.
Perimeter image 2

This example shows a rectangle. The opposite sides are congruent.

We can just add all four sides:

P = 9 cm + 24 cm + 9 cm + 24 cm

P = 66 cm
Perimeter image 3

Or we can use a perimeter formula for rectangles. The l stands for length and the w stands for width. It does not matter which side you call the length and which you call the width.

P = 2(l + w)

= 2(24 cm + 9 cm)

= 2 (33 cm)

= 66 cm


Or P = 2l + 2w

= 2(24 cm) + 2(9 cm)

= 48 cm + 18 cm

= 66 cm


3.)
Perimeter image 4

The dashes tell us that the two sides are congruent or equal. Perimeter image 5

Therefore, we can add up the three sides.

P = 42 in + 42 in + 60 in

P = 144 in

4.)
Perimeter image 6

Here we have a square. All 4 sides are the same.

Perimeter image 7

We could just add all 4 sides.

P = 7 cm + 7 cm + 7 cm + 7 cm

= 28 cm


Or there is a formula for squares.


P = 4s (The s stands for side length.)

P = 4(7 cm)

P = 28 cm

5.) Kendra's back yard is in the shape of a rectangle. The length is 25 meters and the
width is 20meters. How much fencing would she need to wrap around the
entire back yard?

Start by drawing a picture!

Perimeter image 8

Fencing would go around the outside of the shape. Therefore, we need the perimeter of the rectangle.

P = 2(l + w)

P = 2(25 m + 20 m)

P = 2(45 m)

P = 90 m

Kendra needs 90 meters of fencing to go around the entire yard.

Let's Review

To determine the perimeter, you need to add together the side lengths.

For some special shapes, there are formulas. However, if you do not know the formulas or forget the formulas, you can just add all the side lengths together.



Related Links:
Math
Geometry
Perimeter game for square and rectangle
Perimeter of Parallelogram
Perimeter of Rectangle
Perimeter of Square
Perimeter of Trapezoid
Perimeter of the Triangle

Educational Videos