Question

A baseball diamond has an area of 3600 feet to the second power. what is the distance between each base?

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Answer 1

A diamond is the same thing as a square. So the side lengths are all the same. Multiplied length by width you get area. So square the area (3600) and you get 60 feet side length. The bases are 60 feet away from each other.

Answer 2

The base ball diamond has the dimensions of a square. See the diagram in the attachment.

Therefore the area is given by the formula


`Area= {l}^(2)`

We were given the area to be 3600 feet squared. We just have to substitute this value into the formula to obtain;


`3600 = {l}^(2)`

Taking the positive square root of both sides gives;


`√(3600) = \sqrt{ {l}^(2) }`

Thus implies that;


`60 = l`

We can also rewrite this as;


`l = 60`

The distance between each base is how far one side is from the other. This is equal to the perpendicular distance between them and this is the same as the length of the sides.


`<b>Therefore the distance between each base is 60 feet.</b>`