Answer :
Sure, let's compare the areas of the two blankets step-by-step.
1. Calculate the area of the baby blanket:
- The dimensions of the baby blanket are 2 feet by 3 feet.
- To find the area, multiply the length by the width:
[tex]\[
\text{Area of the baby blanket} = 2 \text{ ft} \times 3 \text{ ft} = 6 \text{ square feet}
\][/tex]
2. Calculate the area of the queen-size blanket:
- The dimensions of the queen-size blanket are 6 feet by 9 feet.
- To find the area, multiply the length by the width:
[tex]\[
\text{Area of the queen-size blanket} = 6 \text{ ft} \times 9 \text{ ft} = 54 \text{ square feet}
\][/tex]
3. Compare the areas:
- We need to find the ratio of the area of the baby blanket to the area of the queen-size blanket:
[tex]\[
\text{Ratio} = \frac{\text{Area of the baby blanket}}{\text{Area of the queen-size blanket}} = \frac{6 \text{ square feet}}{54 \text{ square feet}}
\][/tex]
- Simplify the fraction:
[tex]\[
\frac{6}{54} = \frac{1}{9}
\][/tex]
4. Determine the correct option:
- The ratio [tex]\(\frac{1}{9}\)[/tex] corresponds to option A.
So, the area of the baby blanket is [tex]\(\frac{1}{9}\)[/tex] the area of the queen-size blanket.
Answer: A. The area of the baby blanket is [tex]\(\frac{1}{9}\)[/tex] the area of the queen-size blanket.
1. Calculate the area of the baby blanket:
- The dimensions of the baby blanket are 2 feet by 3 feet.
- To find the area, multiply the length by the width:
[tex]\[
\text{Area of the baby blanket} = 2 \text{ ft} \times 3 \text{ ft} = 6 \text{ square feet}
\][/tex]
2. Calculate the area of the queen-size blanket:
- The dimensions of the queen-size blanket are 6 feet by 9 feet.
- To find the area, multiply the length by the width:
[tex]\[
\text{Area of the queen-size blanket} = 6 \text{ ft} \times 9 \text{ ft} = 54 \text{ square feet}
\][/tex]
3. Compare the areas:
- We need to find the ratio of the area of the baby blanket to the area of the queen-size blanket:
[tex]\[
\text{Ratio} = \frac{\text{Area of the baby blanket}}{\text{Area of the queen-size blanket}} = \frac{6 \text{ square feet}}{54 \text{ square feet}}
\][/tex]
- Simplify the fraction:
[tex]\[
\frac{6}{54} = \frac{1}{9}
\][/tex]
4. Determine the correct option:
- The ratio [tex]\(\frac{1}{9}\)[/tex] corresponds to option A.
So, the area of the baby blanket is [tex]\(\frac{1}{9}\)[/tex] the area of the queen-size blanket.
Answer: A. The area of the baby blanket is [tex]\(\frac{1}{9}\)[/tex] the area of the queen-size blanket.
