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A scale drawing of a building has a width to

length ratio of 3:4. Which best describes the
width of a scale drawing, if the length of the
scale drawing is 37 inches?
A 49 in.
B 272/2 in.
C 111 in.
D 372 in.

User Shanntel
by
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1 Answer

4 votes

The width of a scale drawing with a length of 37 inches and a width to length ratio of 3:4 is best described as 272/2 inches. This is found by setting up a proportion (3/4 = width/37) and solving for the width. So, the correct option is B.

The question is asking to determine the width of a scale drawing given a width to length ratio of 3:4 and the length of the scale drawing as 37 inches.

First, understand that the ratio 3:4 means for every 3 units of width, there are 4 units of length in the scale drawing.

To find the corresponding width for a length of 37 inches, set up a proportion using the given ratio: 3/4 = width/37.

Cross multiply to solve for the width: (3 × 37) = 4 × width.

You will get 111 = 4 × width.

Therefore, width = 111/4 inches.

Calculate the division: width = 27.75 inches, which simplifies to 27· 75 inches or 272/2 inches.

The best description of the width is 272/2 inches (option B).

User Pawel Gradecki
by
8.0k points
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