You make a scale drawing of a garden plot using the scale 2 inches = 17 feet. If the length of a row of vegetables on the drawing is 3 inches, how long is the actual row?
![oobleck](/images/users/0/1/128x128.jpeg)
3 years ago
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
To find the length of the actual row, we need to set up a proportion using the given scale. The proportion can be set up as follows:
2 inches / 17 feet = 3 inches / x feet
To find the value of x, we can cross-multiply and solve for x:
2 inches * x feet = 3 inches * 17 feet
2x = 51
Divide both sides by 2:
x = 51 / 2
x = 25.5 feet
Therefore, the actual length of the row of vegetables is 25.5 feet.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To find the length of the actual row of vegetables, we need to use the scale provided in the question.
Given:
Scale: 2 inches = 17 feet
Length on the drawing: 3 inches
Step 1: Set up a ratio using the scale.
We have:
2 inches (on the drawing) : 17 feet (actual length)
Step 2: Cross-multiply and solve for the unknown.
Let x be the length of the actual row in feet.
We can set up the following equation using the ratio:
2 inches / 17 feet = 3 inches / x feet
By cross-multiplying, we get:
(2 inches) * x feet = (3 inches) * 17 feet
Simplifying this equation:
2x = 51
Step 3: Solve for x.
Dividing both sides of the equation by 2, we get:
x = 51 / 2
Calculating this, we find:
x = 25.5 feet
Therefore, the length of the actual row of vegetables is 25.5 feet.