There are 4 horizontal lines H1 to H4
parallel to each other and 4 vertical lines V1
to V4 parallel to each other. The spacing
between any 2 successive lines is 1 cm. Find
the sum of the area of all parallelogram
that can be formed using these lines.
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Answer:
Parallel horizontal lines
6 parallel vertical lines
For a parallelogram to be formed 2 horizontal and 2 vertical lines
7C2 6C2=5!×2!7!×4!×2!6!=21×15=315
Hence, the number of parallelogram =315
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