Question

A rectangular park has an area of 1.36×108 ft2
1.36
×
10
8
ft
2
. The length of the park is 1.6×104
1.6
×
10
4
ft. Divide the area by the length to find the width of the park.
Responses

8.5×105
8.5
×
10
5
ft.
8 point 5 times 10 to the 5th power ft. - no response given

8.5×104
8.5
×
10
4
ft.
8 point 5 times 10 to the 4th power ft. - incorrect

8.5×102
8.5
×
10
2
ft.
8 point 5 times 10 squared ft. - no response given

8.5×103
8.5
×
10
3
ft.
8 point 5 times 10 cubed ft. - not selected, this is the correct answer
Score
0

Answer 1

To find the width of the park, you'll divide the area by the length.

Given:
- Area = \( 1.36 \times 10^8 \) ft²
- Length = \( 1.6 \times 10^4 \) ft

**Calculation:**

\[
\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{1.36 \times 10^8 \, \text{ft}^2}{1.6 \times 10^4 \, \text{ft}}
\]

To perform the division:

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

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

Now, multiplying these together:
\[
\text{Width} = 0.85 \times 10^4
\]

To express \( 0.85 \) in scientific notation:
\[
0.85 = 8.5 \times 10^{-1}
\]
Thus,
\[
\text{Width} = 8.5 \times 10^{-1} \times 10^4 = 8.5 \times 10^{3} \, \text{ft}
\]

The width of the park is:
\[
\text{Width} = 8.5 \times 10^3 \, \text{ft}
\]

The correct answer is:
**8.5 × 10³ ft.**

Answer 2

no words

Answer 3

To find the width:

\[
\text{Width} = \frac{1.36 \times 10^8 \, \text{ft}^2}{1.6 \times 10^4 \, \text{ft}}
\]

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

\[
= 0.85 \times 10^4
\]

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

**Width = 8.5 × 10³ ft**.