We connect dots with toothpicks in a grid as shown in Figure 1.14. If there are 10 horizontal toothpicks in each row and 20 vertical ones in each column, how many total toothpicks are there?
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Answer:
430
Step-by-step explanation:
In each row there is one more dot than there are horizontal toothpicks, and in each column there is one more dot than there are vertical toothpicks, so:
Number of horizontal toothpicks = 10*(20 + 1) = 210
Number of vertical toothpicks = 20*(10 + 1) = 220
Total number of toothpicks = 430
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