Question

a baseball diamond is a square with corners at home plate, first base, second base, and third base. the distance between home plate and first base is 30 yards. what is the area of a baseball diamond?
a. 900 square yards
b. 90 square yards
c. 1,800 square yards
d. 120 square yards

Explanation:

Step1: Identify shape and formula

A baseball diamond is a square. Area formula for a square is $A = s^2$, where $s$ is side - length.

Step2: Determine side - length

The distance between home plate and first base is the side - length of the square. So, $s = 30$ yards.

Step3: Calculate area

Substitute $s = 30$ into the formula: $A=(30)^2=900$ square yards.

Answer:

A. 900 square yards