Perimeters vs. Areas

Scott Farrar, Oct 13, 2015

An exploration of simple shapes, how their perimeters relate to their areas. [url]www.scottfarrar.com[/url] | [url]https://twitter.com/farrarscott[/url]

Table of Contents

  1. Constant Area
    1. Rect-Tri-Areas
  2. Constant Perimeter
    1. Farmer Farrar's Fencing
  3. Area v. Perimeter
    1. Area v. Perim for Quads and Tris

1.

Constant Area

  • 1. Rect-Tri-Areas

1.1.

Rect-Tri-Areas

The rectangle is made to have an [b]equal area[/b] to triangle ABC. You can drag R to see other rectangles that fit this area. What do you notice about the perimeters? [url]www.scottfarrar.com[/url] | [url]https://twitter.com/farrarscott[/url]
– Scott Farrar

2.

Constant Perimeter

  • 1. Farmer Farrar's Fencing

2.1.

Farmer Farrar's Fencing

Drag the blue point to change the dimensions of the sheep pen.
– Scott Farrar

3.

Area v. Perimeter

  • 1. Area v. Perim for Quads and Tris

3.1.

Area v. Perim for Quads and Tris

Both polygons have a related coordinate point that plots its (perimeter, area). Change the size and shape of the quadrilateral and triangle, observe the change in the coordinate points. Can you find a triangle who's point is directly to the left of the quadrilateral's point? [url]www.scottfarrar.com[/url] | [url]https://twitter.com/farrarscott[/url]
– Scott Farrar

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