The bases in a major league diamond are locate at the corners of a 900 yd^2 square as pictures below. a player throws a baseball from home plate to seocnd base along the dashed line shown how many yards does the baseball travel

To answer this, you will use the area of 900 square yards to determine the distances between the bases.  Each side of the square is 30 yards, so it will be 30 yards from 1st to home and from 1st to 2nd.  

The distance from home to 2nd is a diagonal in the square (the hypotenuse).

You will use the Pythagorean Theorem to find this distance.

a^2 + b^2 = c^2
30^2 + 30 ^2 = c^2
900 + 900 + c^2
1800 = c^2

The square root of 1800 is approximately 42.4 yards.

The ball travels approximately 42.4 yards.