Question

3. Tyler's Flag Problem: Tyler has designed his own flag on a rectangle that is 3 inches tall and 6 inches wide. Now he wants to draw a larger version of his flag on a rectangle that is 9 inches tall. How wide should Tyler make his larger flag? Solve this problem in two ways: with the scale factor method and with the internal factor method. In each case: • Explain clearly the idea and the reasoning of that method. • Link the method to a proportion.

Answer 1

6 inch ince ginch Figure 1 Figure 2. Suppose figure 1 deforesents are the Tyler's flag. and Figwee 2 represents the larger version of his flag. Bent un solution by scale factors Method The scale factors, is the ratio of two of similar figures corresponding, side lengths Similar figures have the same shake but are different sizes. For each pair of similar figures, there are two two scale factors smaller in If you are scaling up cox from a figure to a larger one, use the ratio: Iscale factors. Larger Length Smaller Length

Mit If you are scaling down from a larger figure to a smaller one, use the ratio. Scale Factor - Smaller Length: .. Larger Length | When you multiply the known side length side length of on the provided them you the missing Similar figure, this gives no besponding side length on the similar figure For scaling up this problem, we are from a doger figure a smaller figure to Ta scale Factoro: Larger Length mi s ub inch 2 3 inch 22. of the unknown Therefore, the length side of the figure larger - Scale Factor A length of a known side - 2x ginah = 18 inch.

In this Internal case, factor binch = Binch 22. of And the the length of the smaller side similar figwee is known of the tager side The lungth 2x ginah : 18 inch