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Perimeter & its boundary

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Perimeter Theory

What is Perimeter?

The perimeter is the total distance around the edge of a 2D shape. It's like walking around the boundary of a park - the total path length is the perimeter.

Perimeter is measured in linear units like meters, centimeters, inches, or feet.

Real-life example: Fencing a yard, framing a picture, or trimming the edges of a rug.

Perimeter Formulas

Different shapes have different formulas for calculating perimeter:

Square: P = 4 × side
Rectangle: P = 2 × (length + width)

Square Perimeter

A square has all four sides equal. To find its perimeter, simply multiply the length of one side by 4.

Example: A square with side length 5cm has perimeter = 4 × 5 = 20cm

Rectangle Perimeter

A rectangle has opposite sides equal. Add the length and width, then multiply by 2.

Example: A rectangle 6m long and 4m wide has perimeter = 2 × (6 + 4) = 20m

I have invited 14 guests for dinner. Help me arrange tables so they sit together with the fewest tables.

Table Dimensions

Length: 4
Width: 3
Drag and resize the tables on the grid until the "People Seated" value reaches target

Actions

Progress

Need 0 more guests
Table
Chair
People Seated 14
Tables Used 12
Target 14

Perimeter Challenges

Test your perimeter knowledge with these real-world challenges. Calculate the perimeter for each scenario and enter your answer.

Swimming Pool

A rectangular swimming pool measures 12 meters long and 8 meters wide. What is the perimeter of the pool?

P = 2 × (length + width)

Chess Board

A chess board is a square with each side measuring 45 cm. What is the perimeter of the chess board?

P = 4 × side

Shape Builder Workshop

Build Your Shape

Step 1: Select a shape type

Step 2: Adjust dimensions using sliders

Step 3: Calculate the perimeter and check your answer!

Square
Rectangle
10 cm
15 cm
Perimeter: ? cm
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Total Score: 0 points