Answer:
√53 ≈ 7.3 miles
Explanation:
The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.
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If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...
c² = a² +b²
c² = 2² +7² = 53
c = √53 . . . . . exact corner-corner distance in miles
c ≈ 7.3 . . . . . . approximate corner-corner distance
The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.