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

`\text{The scale is }(1)/(432)`

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 = }(1080)/(2.5)=432`

`\text{Hence, the scale is }(1)/(432)`