A rectangular city is 4 miles long and 5 miles wide. What is the distance between opposite corners of the city?

The exact distance is __ miles

How far is it to the closest tenth of a mile?

Respuesta :

Answer:

It must be the hypotenuse of a right triangle of sides 4 and 5 miles.


 Use the Pythagorean theorem:

r = √(4^2 + 5^2) miles = √41 miles ≅ 6.4 miles


The distance between the opposite corners of the city is 6.4 miles.

Given that a rectangular city is 4 miles long and 5 miles wide, to determine what is the distance between opposite corners of the city, the following calculation must be performed, applying the Pythagorean theorem:

Since two right triangles form a rectangle, the hypotenuse of both will be a line that runs through the opposite corners of the rectangle.

  • 4 ^ 2 + 5 ^ 2 = X ^ 2
  • 16 + 25 = X ^ 2
  • √41 = X
  • 6.40 = X

Therefore, the distance between the opposite corners of the city is 6.4 miles.

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