Question

The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball field. If the bases are 2 1/2 inches apart on her scale drawing, what’s Allyson’s scale?

Answer 1

Answer:

$\text{The scale is }\frac{1}{432}$

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

             = 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

$\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432$

$\text{Hence, the scale is }\frac{1}{432}$