Answered

A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?

Answer :

MRROYALGO

A finite, nonzero area formed by the lines would have a fixed measurement

The number of separate region that have a finite, nonzero area is 64

How to determine the number of separate regions?

The given parameters are:

  • Horizontal lines, h = 9
  • Vertical lines, v = 9

The number (n) of separate region that have a finite, nonzero area is calculated as:

n = (h - 1) * (v - 1)

This gives

n = (9 - 1) * (9 - 1)

Evaluate the product

n = 64

Hence, the number of separate region that have a finite, nonzero area is 64

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