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Area Using a Geoboard

A geoboard is a mathematical teaching aid used

to explore the concepts of perimeter, and area
of any polygons. It is made up of plywood or
plastic with nails or pegs spaced 1 unit apart on

it. It is used to teach the concept of congruency,
symmetry, positioning, determining area and
perimeter, etc.

How to Find the Area on a Geoboard?

While finding the area, consider each little
square as one unit. There are two ways to find the area on geoboard:

(a) Fill and count method

1 unit
(b) Surround and uncounting method
Fill and Count Method

In this method, one would fill the area inside the object and would count the
number of squares inside the object. Here is a square ABCD. The outer boundary A 1 2 B

is further divided into 4 small squares. Hence, the area of ABCD = 4 square units. D 3 4 C
Surround and Uncount Method or Chop method

In this method, one would surround the entire shape and find that whole area
and later count the area that is not included within the shape, which will be A B
subtracted from the whole area to find the area required. F C

Here, ABCDEF is a hexagon whose area needs to be found. Firstly, we cover the E D
entire area, which is the combination of 6 squares. However, 4 of the squares

1
are only use half of the unit, so 4 × = 2 sq. units will be subtracted.
2
Hence, the area of ABCDEF = 6 – 2 = 4 sq. units

Example 19: Find the area of the quadrilateral ABCD.

A B

D C

195
195 Perimeter and Area
ea
and Ar
P
erimeter