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

1. 8.5 x 10^3 ft
2. 8.5 x 10^4 ft
3. 8.5 x 10^2
4. 8.5 10^5

1 answer

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

Area = 1.36 x 10^8 ft^2
Length = 1.6 x 10^4 ft

Width = Area / Length
Width = (1.36 x 10^8 ft^2) / (1.6 x 10^4 ft)

To simplify, we can divide the numbers separately and apply the exponent rule for division (subtract the exponents).

Width = (1.36 / 1.6) x 10^(8 - 4) ft
Width = 0.85 x 10^4 ft

Since 0.85 is equivalent to 8.5 x 10^(-1) (move the decimal one place to the right and increase the exponent), we can rewrite it as:

Width = 8.5 x 10^(-1) x 10^4 ft

When multiplying with the same base, we add the exponents:

Width = 8.5 x 10^(-1 + 4) ft
Width = 8.5 x 10^3 ft

Therefore, the width of the park is 8.5 x 10^3 ft.

So, the correct option is 1. 8.5 x 10^3 ft.
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