Question

1. look at the map, and answer the following question.

this map of new york state is 60 inches from east to west by 56.5 inches north to south. if 1 inch = 5 miles, how large is the actual state?
options:

• 600 × 565 miles
• 60 × 56.5 miles
• 300 × 282.5 miles

Explanation:

Step1: Convert east-west length

The map's east - west length is 60 inches, and 1 inch = 20 miles. So the actual east - west length is $60\times20 = 1200$ miles.

Step2: Convert north - south length

The map's north - south length is 55.5 inches, and 1 inch = 20 miles. So the actual north - south length is $55.5\times20=1110$ miles? Wait, no, wait, let's recalculate. Wait, 6020 = 1200, 55.520: 5520 = 1100, 0.520 = 10, so 1100 + 10 = 1110? Wait, but the option has 1200×1110? Wait, no, the options: let's check the options again. Wait, the first option is 600×560, second 60×55.5, third 1200×1110? Wait, maybe I miscalculated. Wait, 1 inch = 20 miles. So 60 inches 20 miles/inch = 1200 miles. 55.5 inches 20 miles/inch = 1110 miles. So the actual size is 1200×1110 miles. Wait, but the third option is 1200×1110? Wait, maybe the original problem's 55.5, when multiplied by 20: 55.520 = 1110. And 6020 = 1200. So the correct option is the third one (assuming the third option is 1200×1110, but in the user's image, the third option is "1200 × 1110 miles" maybe? Wait, the user's options: first is 600×560, second 60×55.5, third 1200×1110. So we need to convert each dimension. So east - west: 60 inches 20 miles/inch = 1200 miles. North - south: 55.5 inches 20 miles/inch = 1110 miles. So the actual size is 1200×1110 miles.

Answer:

The correct option is the third one (assuming the third option is "1200 × 1110 miles", with the identifier as per the option's position, e.g., if it's the third radio button option, then "The third option (1200 × 1110 miles)")