Question

a baseball diamond is a square whose sides are about 25 m in length. a) how many meters does a batter run if he hit 4 home runs in a game? b) how many kilometers? c) how many millimeters?

Explanation:

Step1: Calculate distance for 1 home - run

A home - run in a baseball diamond (a square) means running around the square. The perimeter of a square with side length $s$ is $P = 4s$. Given $s = 25$ m, for 1 home - run, the distance $d_1=4\times25=100$ m.

Step2: Calculate distance for 4 home - runs in meters

If the batter hits 4 home - runs, the total distance $d_m$ in meters is $d_m = 4\times d_1$. So $d_m=4\times100 = 400$ m.

Step3: Convert meters to kilometers

We know that 1 km = 1000 m. To convert the distance from meters to kilometers, we use the conversion factor. Let $d_{km}$ be the distance in kilometers. Then $d_{km}=\frac{d_m}{1000}$. So $d_{km}=\frac{400}{1000}=0.4$ km.

Step4: Convert meters to millimeters

We know that 1 m = 1000 mm. To convert the distance from meters to millimeters, we use the conversion factor. Let $d_{mm}$ be the distance in millimeters. Then $d_{mm}=d_m\times1000$. So $d_{mm}=400\times1000 = 400000$ mm.

Answer:

a) 400 m
b) 0.4 km
c) 400000 mm