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What are the dimensions of a square that encloses the same area as a rectangle that is 2 miles long and 1 mile wide? Answer to the nearest inch, please. 

User VenushkaT
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1 Answer

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Answer:

7467 ft 1 in = 89605 inches on a side

Explanation:

You want the dimensions of a square with an area of 2 square miles, to the nearest inch.

Side length

The area of a square is given by ...

A = s² . . . . . . where s is the side length

For an area of 2 mi², the side length is ...

2 mi² = s²

√(2 mi²) = s = √2 mi

Unit conversion

You want the distance to the nearest inch, so we need to convert this to inches.

√2 mi = (√2 mi) × (5280 ft/mi) × (12 in/ft) ≈ 89604.57 in

Rounded to the nearest inch, this is

89605 inches

In feet and inches, this is

89605/12 ft = 7467 1/12 ft = 7467 ft 1 in.

User ThisDarkTao
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