To find the scale representation of Sara's apartment on the drawing, we first need to convert the dimensions of the apartment into the same units as the drawing.
-
Convert the apartment dimensions:
- Width: \( 22 \frac{1}{2} \text{ feet} = 22.5 \text{ feet} \)
- Length: \( 25 \text{ feet} \)
-
Using the scale provided:
- The scale states that \( 1 \frac{1}{2} \text{ inches} = 15 \text{ feet} \).
- Therefore, \( 1 \text{ inch} \) equals \( \frac{15}{1.5} = 10 \text{ feet} \).
-
Convert the apartment dimensions to inches:
- Width in inches: \( \frac{22.5 \text{ feet}}{10 \text{ feet/inch}} = 2.25 \text{ inches} \)
- Length in inches: \( \frac{25 \text{ feet}}{10 \text{ feet/inch}} = 2.5 \text{ inches} \)
Now, we can complete the sentence:
"In the drawing of the apartment, the dimensions represent 2.25 inches wide by 2.5 inches long, which corresponds to 22.5 feet by 25 feet in actual size."
1 answer