A home builder uses a scale of 1/4 inch : 8 feet for their blueprints. How long is a kitchen that has a length of 1.6 inches on a blueprint?

Answer 1

To determine the actual length of the kitchen, we can set up a proportion using the scale provided:

(1/4 inch) / (8 feet) = (1.6 inches) / (x feet)

Cross-multiplying, we get:

1.6 inches * 8 feet = 1/4 inch * x feet

12.8 feet = 0.25 x feet

Dividing both sides by 0.25, we find:

x feet = 12.8 feet / 0.25

x feet = 51.2 feet

Therefore, the actual length of the kitchen is 51.2 feet.