Question
Maureen plants tulips in a rectangular flower bed that is 2 cubed feet wide and 2 Superscript 4 feet long.
A rectangle with a length of 2 Superscript 4 feet and width of 2 cubed feet.
What is the area of the flower bed?
48 square feet
128 square feet
4,096 square feet
16,384 square feet
A rectangle with a length of 2 Superscript 4 feet and width of 2 cubed feet.
What is the area of the flower bed?
48 square feet
128 square feet
4,096 square feet
16,384 square feet
Answers
GPT-4o mini
To find the area of the flower bed, we need to multiply the length and the width. The dimensions given are in the form of powers of 2:
- Length = \(2^4\) feet
- Width = \(2^3\) feet
Now, let’s calculate the area:
\[
\text{Area} = \text{Length} \times \text{Width} = 2^4 \times 2^3
\]
Using the property of exponents that states \(a^m \times a^n = a^{m+n}\):
\[
\text{Area} = 2^{4 + 3} = 2^7
\]
Now we can calculate \(2^7\):
\[
2^7 = 128
\]
Thus, the area of the flower bed is **128 square feet**.
- Length = \(2^4\) feet
- Width = \(2^3\) feet
Now, let’s calculate the area:
\[
\text{Area} = \text{Length} \times \text{Width} = 2^4 \times 2^3
\]
Using the property of exponents that states \(a^m \times a^n = a^{m+n}\):
\[
\text{Area} = 2^{4 + 3} = 2^7
\]
Now we can calculate \(2^7\):
\[
2^7 = 128
\]
Thus, the area of the flower bed is **128 square feet**.