Sunday, April 11, 2010

Posts and Trees - Area

As discussed in class we found out the area of triangles.

Peg = post outside touching rubberband
Tree is a peg inside the rubberband not toughing a rubberband.

Posts Trees Area
0 0 .5
1 1 1.5
3 2 2.5
3 3 3.5

From these observations as a class we came up with a formula:
A (P,T) = .5(P) + 1(T) - 1

Professor Flint asked we go home and see if this formula will work with quadrilaterals.

Quadrilaterals: means "four sides"
(quad means four, lateral means side).
Any four-sided shape is a Quadrilateral. But the sides have to be straight, and it has to be 2-dimensional.

There are special types of quadrilateral:
Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms.


Posts Trees Area
4 0 1 .5(4) + 1(0) - 1
4 1 2 .5(4) + 1(1) - 2
4 2 3 .5(4) + 1(2) - 3
4 3 4 .5(4) + 1(3) - 4




In conclusion I found the formula to work the same for quadrilaterals.

No comments:

Post a Comment