Final answer:
To determine the length of the building in the scale drawing, a ratio was used: 0.25 inches to 2 feet. By applying this scale to the actual building length of 250 feet, we calculate that the length in the scale drawing is 31.25 inches.
Step-by-step explanation:
The task is to determine the length in inches of a building on a scale drawing where the scale is 0.25 inches represents 2 feet.
To do this, we need to set up a proportion that reflects the scale of the drawing. The actual length of the building is 250 feet.
First, write the scale as a ratio: 0.25 inches / 2 feet. Now, create a proportion to calculate the length in inches on the drawing.
Let's let x represent the length in inches on the scale drawing. The proportion will be:
0.25 inches / 2 feet = x inches / 250 feet
To find x, we multiply both sides of the equation by 250 feet, which gives us:
(0.25 inches / 2 feet) × 250 feet = x (We can cancel out the feet to simplify)
This simplifies to:
(0.25 inches × 250) / 2 = x
0.25 × 250 = 62.5
Then divide 62.5 by 2 to get x.
62.5 / 2 = 31.25 inches
So, the length of the scale drawing is 31.25 inches.