Question

a rectangular park has an area of 1.36 x 10^8 ft^2. The length of the park is 1.6 x 10^4 ft. Divide the area by the length to find the width of the park.

a. 8.5 x 10^3 ft.
b. 8.5 x 10^5 ft.
c. 8.5 x 10^2 ft.
d. 8.5 x 10^4 ft.

Answer 1

To find the width of the park, we can use the formula:

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

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

Now, we can perform the division:

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

To divide the numbers:

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

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

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

To express it in proper scientific notation, we can rewrite \(0.85\) as \(8.5\) and decrease the exponent by 1:
\[
\text{Width} = 8.5 \times 10^3 \text{ ft}
\]

Thus, the width of the park is:
\[
\boxed{8.5 \times 10^3 \text{ ft.}}
\]

The correct answer is (a) \(8.5 \times 10^3 \text{ ft.}\)