Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He decided to change the length of the actual sidewalk to 27 ft. If the scale drawing still has a length of 3 in., what does 1 in. represent in the new scale?

Question

Mathematics

Amani Gibbs

5 December, 05:28

Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He decided to change the length of the actual sidewalk to 27 ft. If the scale drawing still has a length of 3 in., what does 1 in. represent in the new scale?

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Hassan Gould · Answer 1

Original Ratio of 1 in = 7 ft so 3 in = 21 ft

Now, New ratio 1 in = x ft so 3 in = 27ft

1/x = 3/27

cross multiply a/b = c/d ad = bc

1/x = 3/27

3x = 27

x = 9

1 in represents 9 ft