Question

i \can\ similarity
a dining room is 16 ft long by 14 ft wide. the blueprint shows the room to be 4 inches long. how long is the room on the blueprint?
a 3.5
c 6.5
b 4.5
d 5
33
o a

Explanation:

Step1: Find the scale factor

The actual length is \(16\) ft and the blueprint length is \(4\) inches. The scale factor \(k\) for length is \(\frac{4}{16}=\frac{1}{4}\) (inches per foot).

Step2: Calculate the blueprint width

The actual width is \(14\) ft. Using the scale factor, the blueprint width \(w\) is \(w = 14\times\frac{1}{4}\).

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Answer:

A. \(3.5\)