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?
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.