Introduction
Area and Perimeter.
Photo by: Sarah Pflug.
Before we start we need to ensure we understand what a 2D shape is, please read through the following link in the Links section for a better understanding: 2D and 3D shapes.
We can calculate the perimeters and areas of shapes, we need to understand the maths behind it. Please read through the following link in the Links for a better understanding: Area and Perimeter 2D shapes. You can also watch a short video in the videos section to understand Area and Perimeter of 2D shapes.
To find the perimeter of a polygon, add all the side lengths up together.
To find the area of a square, we calculate length * width.
To find the area of triangle, we calculate ½ * base * height.
We can find the area of any regular polygon using the following formula:
area = n * a² * cot(π/n) / 4
Where n = number of sides and a = the side length
To calculate the perimeter of a square we add up the length of each side:
perimeter = 10 + 10 + 10 + 10
The area of a pentagon:
area = 5 * (7)² * cot(π/5) / 4
area = 84.3034 m²
Task
Tiling Company
Photo by: Kiki Zhang.
A tiling company is developing a new range of kitchen and bathroom tiles.
The tiles vary in shape and size, and to know how much everything is going to cost, they need a piece of software that can help them quickly find the area and perimeter of polygons.
You’ve been tasked with creating a 2D polygon calculator!
