Question
The following blueprint of a kitchen has dimensions of 7 inches by 7 inches. The island has been highlighted in red.
The island's actual dimensions are feet by feet. If the scale of the blueprint is 1 inch = feet, what are the dimensions of the island on the blueprint?
A.
B.
C.
D.
The island's actual dimensions are feet by feet. If the scale of the blueprint is 1 inch = feet, what are the dimensions of the island on the blueprint?
A.
B.
C.
D.
Answers
GPT-4o mini
To determine the dimensions of the island on the blueprint, we need to first establish the actual dimensions of the island and the scale of the blueprint.
1. **Identify the scale**: The scale given is 1 inch = X feet.
2. **Calculate dimensions on the blueprint**: If the actual dimensions of the island are known (let's say it's W feet by H feet), we convert those dimensions to inches. To do this, we use the scale. Since 1 inch = X feet, we can convert feet to inches by taking the actual dimension in feet and dividing it by X.
\[
\text{Width on blueprint (inches)} = \frac{W}{X}
\]
\[
\text{Height on blueprint (inches)} = \frac{H}{X}
\]
3. **Finding the values**: You would need to fill in W and H based on the actual dimensions provided for the island.
4. **Example**: If the island measures 4 feet by 3 feet and if the scale is 1 inch = 2 feet, then:
\[
\text{Width on blueprint} = \frac{4 \text{ feet}}{2 \text{ feet/inch}} = 2 \text{ inches}
\]
\[
\text{Height on blueprint} = \frac{3 \text{ feet}}{2 \text{ feet/inch}} = 1.5 \text{ inches}
\]
5. **Final answers**: Once the actual dimensions and scale are known, you can insert them into the above formulas to find the blueprint dimensions. Please provide the actual dimensions of the island to get precise answers.
1. **Identify the scale**: The scale given is 1 inch = X feet.
2. **Calculate dimensions on the blueprint**: If the actual dimensions of the island are known (let's say it's W feet by H feet), we convert those dimensions to inches. To do this, we use the scale. Since 1 inch = X feet, we can convert feet to inches by taking the actual dimension in feet and dividing it by X.
\[
\text{Width on blueprint (inches)} = \frac{W}{X}
\]
\[
\text{Height on blueprint (inches)} = \frac{H}{X}
\]
3. **Finding the values**: You would need to fill in W and H based on the actual dimensions provided for the island.
4. **Example**: If the island measures 4 feet by 3 feet and if the scale is 1 inch = 2 feet, then:
\[
\text{Width on blueprint} = \frac{4 \text{ feet}}{2 \text{ feet/inch}} = 2 \text{ inches}
\]
\[
\text{Height on blueprint} = \frac{3 \text{ feet}}{2 \text{ feet/inch}} = 1.5 \text{ inches}
\]
5. **Final answers**: Once the actual dimensions and scale are known, you can insert them into the above formulas to find the blueprint dimensions. Please provide the actual dimensions of the island to get precise answers.