Question

You have a large collection of 1 × 1 squares and 1 × 2 dominoes. You want to arrange these to make a 1 × 15 strip. How many ways can you do this? Start by collecting data. How many length 1 × 1 strips can you make? How many 1 × 2 strips? How many 1 × 3 strips? And so on. How are the 1 × 3 and 1 × 4 strips related to the 1 × 5 strips? How many 1 × 15 strips can you make? What if I asked you to find the number of 1 × 1000 strips? Would the method you used to calculate the number fo 1 × 15 strips be helpful?

Answer 1

Explanation:

To solve this strip question, there’s a need to draw a strip diagram (which is a rectangular mathematical presentation that is used to show arithmetical relationships and may also be used for fractions representation or solve problems that involves operations.)

Kindly check the attached images below to see the step by step explanations to the above question