Math Problem Statement

forumla for perimeter

Solution

The formula for the perimeter of a shape depends on the type of shape you're dealing with. Below are the perimeter formulas for some common shapes:

  1. Perimeter of a Rectangle:
    P=2×(l+w)P = 2 \times (l + w) where ll is the length and ww is the width.

  2. Perimeter of a Square:
    P=4×sP = 4 \times s where ss is the side length.

  3. Perimeter of a Triangle:
    P=a+b+cP = a + b + c where aa, bb, and cc are the lengths of the three sides.

  4. Perimeter of a Circle (Circumference):
    P=2×π×rP = 2 \times \pi \times r where rr is the radius.

  5. Perimeter of a Regular Polygon:
    P=n×sP = n \times s where nn is the number of sides and ss is the length of one side.

Would you like more details on a specific shape's perimeter, or have any questions?

Here are 5 related questions:

  1. How do you find the perimeter of irregular shapes?
  2. How does the perimeter formula change for composite shapes?
  3. What is the difference between perimeter and area?
  4. How is the perimeter of an ellipse calculated?
  5. Can you derive the perimeter formula for a trapezoid?

Tip: Always make sure the units of all dimensions are the same before calculating the perimeter!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter

Formulas

Perimeter of a Rectangle: P = 2 × (l + w)
Perimeter of a Square: P = 4 × s
Perimeter of a Triangle: P = a + b + c
Circumference of a Circle: P = 2 × π × r
Perimeter of a Regular Polygon: P = n × s

Theorems

Basic Geometry Formulas

Suitable Grade Level

Grades 5-8