Maureen Plants Tulips In A Rectangular Flower Bed That Is $2^3$ Feet Wide And $2^4$ Feet Long.What Is The Area Of The Flower Bed?A. 48 Square Feet B. 128 Square Feet C. 4,096 Square Feet D. 16,384 Square Feet

Introduction

In this problem, we are tasked with finding the area of a rectangular flower bed that is planted with tulips. The dimensions of the flower bed are given as $2^3$ feet wide and $2^4$ feet long. To find the area, we need to multiply the width by the length. However, we must first calculate the values of $2^3$ and $2^4$.

Calculating the Width

The width of the flower bed is given as $2^3$ feet. To calculate this value, we need to raise 2 to the power of 3.

$$2^3 = 2 \times 2 \times 2 = 8$$

So, the width of the flower bed is 8 feet.

Calculating the Length

The length of the flower bed is given as $2^4$ feet. To calculate this value, we need to raise 2 to the power of 4.

$$2^4 = 2 \times 2 \times 2 \times 2 = 16$$

So, the length of the flower bed is 16 feet.

Calculating the Area

Now that we have the width and length of the flower bed, we can calculate the area by multiplying the width by the length.

$$\text{Area} = \text{Width} \times \text{Length}$$

$$\text{Area} = 8 \times 16$$

$$\text{Area} = 128$$

Therefore, the area of the flower bed is 128 square feet.

Conclusion

In this problem, we calculated the area of a rectangular flower bed by multiplying the width by the length. We first calculated the values of $2^3$ and $2^4$ to find the width and length of the flower bed. Then, we multiplied the width by the length to find the area. The final answer is 128 square feet.

Answer

The correct answer is B. 128 square feet.

Additional Information

To calculate the area of a rectangular flower bed, you can use the formula:

$$\text{Area} = \text{Width} \times \text{Length}$$

Q: What is the formula for calculating the area of a rectangular flower bed?

A: The formula for calculating the area of a rectangular flower bed is:

$$\text{Area} = \text{Width} \times \text{Length}$$

Q: How do I calculate the width and length of a rectangular flower bed?

A: To calculate the width and length of a rectangular flower bed, you need to know the dimensions of the bed. For example, if the width is given as $2^3$ feet and the length is given as $2^4$ feet, you can calculate the values of $2^3$ and $2^4$ to find the width and length.

Q: What is the difference between width and length in a rectangular flower bed?

A: The width of a rectangular flower bed is the distance from one side of the bed to the opposite side, while the length is the distance from one end of the bed to the opposite end.

Q: Can I use the formula to calculate the area of any rectangular shape?

A: Yes, the formula can be used to calculate the area of any rectangular shape, not just flower beds. You can use it to calculate the area of a room, a piece of paper, or any other rectangular object.

Q: What if the dimensions of the flower bed are given in different units, such as inches or yards?

A: If the dimensions of the flower bed are given in different units, you need to convert them to the same unit before calculating the area. For example, if the width is given in inches and the length is given in yards, you need to convert the width to yards before calculating the area.

Q: Can I use a calculator to calculate the area of a rectangular flower bed?

A: Yes, you can use a calculator to calculate the area of a rectangular flower bed. Simply enter the width and length of the bed into the calculator and multiply them together to find the area.

Q: What if I make a mistake when calculating the area of a rectangular flower bed?

A: If you make a mistake when calculating the area of a rectangular flower bed, you can try rechecking your calculations or using a different method to find the area. You can also use a calculator to double-check your answer.

Q: Can I use the formula to calculate the area of a non-rectangular shape?

A: No, the formula is only applicable to rectangular shapes. If you need to calculate the area of a non-rectangular shape, you need to use a different formula or method.

Q: What is the importance of calculating the area of a rectangular flower bed?

A: Calculating the area of a rectangular flower bed is important because it helps you to determine the amount of space available for planting flowers or other plants. It also helps you to plan the layout of the bed and to determine the number of plants that can be accommodated.

Q: Can I use the formula to calculate the area of a flower bed with an irregular shape?

A: No, the formula is only applicable to rectangular shapes. If you need to calculate the area of a flower bed with an irregular shape, you need to use a different formula or method, such as the formula for the area of a circle or the formula for the area of a triangle.