Activity:
The Far Fetched Areas Glitch Problem
Far Fetched Scientific Inc.
Fargo, North Dakota
Dear fellow geometry student,
I have a problem that I hope you can help me with. We here at Far
Fetched sell tiles of different designs. We charge by the square inch
($1.00). In order to find out the area we need to make a drawing of
our tiles and then use a program called the Geometer’s Sketchpad
to
tell us how many square centimeters there are in our tiles. Here is one
of our rectangular tiles.

1. First we draw a rectangle. You will find one just like the one above
if you load the file rectangle1.gsp
2. Measure the sides by clicking on (and highlighting) them. Click on
AB. You should notice two “handles” appear on the line. Go to the
Measure menu and choose segment. You should get the measurement of AB.
3. Repeat the same for BC.
On the same sketch you will also see a square tile. This tile is called
a square inch because each side of the square is one inch.
Our usual way is to click on (and highlight) the polygon interior and
then choose Area from the Measure menu. But for some reason the area
measure tool doesn’t work. We heard you have some ways of finding the
area without using the measure area menu option. We need your help in
finding the areas of the shapes on the other page.
I will be eternally grateful for your help!
Sincerely yours,
I. M. Farout
CEO, Far Fetched Inc.
PS See if you can help us with circular shapes
as well.
if you have
figured out how to find the area of a rectangle how
about some of these shapes that you
will be using in our pattern
blocks designs?
Here's another
way to make these designs with a Java Applet.