Question

Which ratio expresses the scale used to create this drawing?

The school has dimensions of 18 feet by 18 feet.

Answer 1

Answer:

$\huge \green{18 \: feet}$

Answer 2

The correct ratio that expresses the scale used to create the drawing is (C) 3 squares/1 foot = 18 feet/6 squares.

To understand why, we need to look at how the dimensions of the school are represented in the drawing. The school in the drawing is divided into 6 squares horizontally and 6 squares vertically, for a total of 36 squares. We can assume that each square in the drawing represents an equal area of the school.

The width and height of the school are both 18 feet. To find out how many feet each square in the drawing represents, we can divide 18 by 6, since there are 6 squares horizontally and vertically:

18 feet / 6 squares = 3 feet per square

So each square in the drawing represents an area of 3 feet by 3 feet, or 9 square feet.

We can now express the scale of the drawing as a ratio of squares to feet. Since each square represents an area of 9 square feet, the ratio is:

3 squares / 1 foot = 1 foot / 3 squares

We can simplify this ratio by multiplying both sides by 6, to get:

18 feet / 6 squares = 3 squares / 1 foot

Therefore, the correct ratio that expresses the scale used to create the drawing is 3 squares/1 foot = 18 feet/6 squares, which is equivalent to option (C).

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