A rectangular park has an area of 1.36 x 10 ft²The length of the park is 1.6 x 10ftDivide the area by the length to find the width of the park. (1 point)
O 8.5 x 10 n
O 8.5 x 10¹n
O 8.5 x 10 n
O 8.5 x 102 n
To find the width of the park, you would divide the area by the length. Let's calculate:
Area = 1.36 x 10² ft²
Length = 1.6 x 10¹ ft
Width = Area / Length
= (1.36 x 10² ft²) / (1.6 x 10¹ ft)
To divide exponentials with the same base, you subtract the exponents:
Width = (1.36 / 1.6) x 10^(2 - 1)
= 0.85 x 10¹ ft
Now we write 0.85 in scientific notation as 8.5 x 10⁰:
Width = 8.5 x 10⁰ x 10¹ ft
= 8.5 x 10¹ ft
So the correct answer is:
O 8.5 x 10¹ ft
Please note, in the options you provided there are two identical options without the unit (which might be a typographical error), and an option with the unit n that should be ft for feet. Assuming the unit is meant to be feet for the context of the park, the right option would be 8.5 x 10¹ ft.