To find the width of the park, you can use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Rearranging this formula to find the width gives:
\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \]
Substituting the given values into the formula:
\[ \text{Area} = 1.36 \times 10^8 \text{ ft}^2 \] \[ \text{Length} = 1.6 \times 10^4 \text{ ft} \]
Now, we divide the area by the length:
\[ \text{Width} = \frac{1.36 \times 10^8 \text{ ft}^2}{1.6 \times 10^4 \text{ ft}} \]
To perform this division, you can first divide the coefficients and then handle the powers of ten:
\[ \text{Width} = \frac{1.36}{1.6} \times \frac{10^8}{10^4} \]
Calculating the coefficients:
\[ \frac{1.36}{1.6} = 0.85 \]
And for the powers of ten:
\[ \frac{10^8}{10^4} = 10^{8-4} = 10^4 \]
Putting it all together:
\[ \text{Width} = 0.85 \times 10^4 \]
To express this in scientific notation, we can change \(0.85\) to \(8.5\) by moving the decimal point one place to the right, which increases the exponent by 1:
\[ \text{Width} = 8.5 \times 10^3 \text{ ft} \]
So the width of the park is:
8.5×10^3 ft.