Question

On a map of North Carolina, the distance between Raleigh and Charlotte is 3 1/4 inches. The scale on the map is 1 inch = 40 miles. What is the actual distance?

Answer 1

130 miles

Explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual distance = 31/4 x 40

convert 31/4 to an improper fraction

to convert to improper fraction, take the following steps :

1. Multiply the whole number by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

13/4 x 40 = 130 miles