Question

A tarp is used to keep the infield of a baseball field from getting wet. The infield is a square. The corners of the square tarp are anchored at each base. The tarp is 8,100 square feet.

a. What is the distance between first and second base?
b. Is 8,100 a perfect square? Explain your reasoning

Answer 1

a. 2,025 ft

b. 8,100 is a perfect square.

Step-by-step & explanation:

It is a perfect square because if it wasn't, it wouldn't be equally a whole number when divided by 4 or 2,025 exactly on ALL 4 sides and when finding the root of 8,100 it's a perfect 90. As you should already know a perfect square has a given 90 degree angle.

Tarp = 8,100 sq ft.

- anchored corners at the base.

- Square infield.

Well if there's 4 bases, divide 8,100 by 4.

8,100 / 4 = 2,025

One base to another base is 2,025 ft.