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Home > AC > Chapter 8 > Lesson 8.3.3 > Problem 8-118
Find a rule that represents the number of tiles in Figure
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Figure 1
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Figure 2
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Figure 3
Figure 1
Figure 2
Figure 3
The red circles point out the left arms, the green circles point out the rectangles, and the blue circles point out the right arms.
Notice the following:
The length of the rectangle in Figure 1 is
First, look at the left arm. It remains constant in each of these figures, with a value of
Let
There is a rule for the size of the rectangles:
Now, consider the right arms. Its length matches its corresponding figure number.
Now simplify.