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# help

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A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign?

The ratio of the areas is...?

off-topic
Nov 15, 2018

$$\text{if the sign is similar to the banner then it's width must be}\\ w=\dfrac{17}{54}\cdot 36 = 17\cdot \dfrac 2 3 = \dfrac{34}{3}\\ \dfrac{A_{banner}}{A_{sign}} = \dfrac{54 \times 36}{17\times \frac{34}{3}} = \dfrac{2916}{289}$$