Question A rectangular park has an area of 1.36×108 ft2 . The length of the park is 1.6×104 ft. Divide the area by the length to find the width of the park.(1 point) Responses 8.5×103 ft. 8.5 times 10 cubed ft. 8.5×104 ft. 8.5 times 10 superscript 4 baseline ft. 8.5×102 ft. 8.5 times 10 squared ft. 8.5×105 ft.

Answer 1

To find the width of the park, you need to divide the area of the park by the length of the park.

Given:

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

Now, divide the area by the length:

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

To simplify this, we can divide the coefficients and subtract the exponents:

1. Divide the coefficients: \[ \frac{1.36}{1.6} = 0.85 \]

2. Subtract the exponents: \[ 10^{8 - 4} = 10^4 \]

Now, combine the two results:

\[ \text{Width} = 0.85 \times 10^4 \]

To express this in scientific notation, we can rewrite \( 0.85 \) as \( 8.5 \times 10^{-1} \):

\[ \text{Width} = 8.5 \times 10^{-1} \times 10^4 = 8.5 \times 10^{4 - 1} = 8.5 \times 10^3 \text{ ft} \]

Therefore, the width of the park is \( 8.5 \times 10^3 \) ft.

From the provided responses, the correct answer is:

8.5×103 ft.