A drawing of a deck has a scale of
1 inch equal to 5 feet. The actual deck
is 18 feet long. How long is the deck
in the scale drawing?
3.6
To determine the length of the deck in the scale drawing, we need to follow these steps:
Step 1: Understand the scale ratio
The given scale ratio is 1 inch to 5 feet. This means that for every 1 inch on the drawing, it represents 5 feet in reality.
Step 2: Determine the length in the scale drawing
We are given that the actual length of the deck is 18 feet. To find the length in the scale drawing, we need to set up a proportion using the scale ratio:
Let's assume the length in the scale drawing is "x inches".
1 inch (on the drawing) => 5 feet (in reality)
x inches (on the drawing) => 18 feet (in reality)
Step 3: Solve the proportion
Using the proportion, we can set up the equation:
1/5 = x/18
To solve for x, we can cross-multiply:
5 * x = 1 * 18
5x = 18
Dividing both sides of the equation by 5:
x = 18/5
x = 3.6
Step 4: Interpret the result
The length of the deck in the scale drawing is 3.6 inches.
Therefore, the deck is represented as 3.6 inches long in the scale drawing.
1/5 = x/18
Cross multiply and solve for x.
5x = 18
x = 3 3/5 inches