As understood from Figure 184, if the height (h) is assumed to be constant, the areas of the triangle and the quadrangle (parallelogram) can be made the same by making the ratios of the length of the side 2 to 1 [(Triangle) 2a × h × 1/2= (Parallelogram) a × h].

Various shapes are created by devising easy ways of acquiring areas using such a method as this. Graph paper is good as sketching material to modify ideas.
 
 


184

185
 
187

 

186
 
188

 

Figure 184: Equal-area division of a parallelogram.
Figure
185: Equal-area division using a triangle as a motif.
Figure 186: Equal-area division using a triangle as a motif.
Figure 187: Equal-area division using a circle as a motif.
Figure 188: Equal-area division using a square as a motif.


 

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