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 of the park by the length to find the width of the park.

Answer 1

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

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

You can rearrange this to find the width:

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

Given the area \( A = 1.36 \times 10^8 \) ft² and the length \( L = 1.6 \times 10^4 \) ft, we can substitute these values into the equation for width:

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

Now, perform the division:

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

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

Putting it all together:

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

To express \(0.85 \times 10^4\) in standard form, you can convert it:

\[ 0.85 \times 10^4 = 8.5 \times 10^3 \text{ ft} \]

Thus, the width of the park is:

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