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17. aiden is making a model of the lincoln memorial. the height of his …

Question

  1. aiden is making a model of the lincoln memorial. the height of his model is going to be 20 in. what is the width of his model?

lincoln memorial (image with 80 ft height and 200 ft width)
a. 10 in b. 50 in c. 20 in d. 220 in

Explanation:

Step1: Set up proportion

Let \( x \) be the width of the model. The ratio of height to width of the actual memorial should equal the ratio of height to width of the model. So, \(\frac{80}{200}=\frac{20}{x}\)

Step2: Cross - multiply

Cross - multiplying gives \( 80x = 200\times20 \)

Step3: Solve for \( x \)

First, calculate \( 200\times20 = 4000 \). Then, \( x=\frac{4000}{80}=50 \)

Answer:

B. 50 in