A rectangular park has an area of 1.36×10^8 ft^2

Question

. The length of the park is 1.6×10^4
ft. Divide the area by the length to find the width of the park.(1 point)
Responses

8.5×104
ft.
8.5 times 10 superscript 4 baseline ft.

8.5×105
ft.
8.5 times 10 superscript 5 baseline ft.

8.5×103
ft.
8.5 times 10 cubed ft.

8.5×102
ft.
8.5 times 10 squared ft.
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Answer 1

To find the width of the park, you can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{Length} \times \text{Width} \]

From this, you can rearrange the formula to find the width:

\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \]

Given:

• Area = \( 1.36 \times 10^8 \) ft²
• Length = \( 1.6 \times 10^4 \) ft

Now, substituting the given values into the width formula:

\[ \text{Width} = \frac{1.36 \times 10^8}{1.6 \times 10^4} \]

Now we can divide the coefficients (1.36 by 1.6) and subtract the exponents of ten:

\[ = \frac{1.36}{1.6} \times 10^{8 - 4} \] \[ = 0.85 \times 10^4 \]

Now converting \(0.85\) to scientific notation, we can write it as:

\[ = 8.5 \times 10^3 \]

Thus, the width of the park is:

\[ 8.5 \times 10^3 \text{ ft.} \]

So the correct response is:

8.5×10³ ft.