Math Problem Statement
Solution
To solve the problem, we are given the following information:
- The scale of the drawing is .
- The dimensions of the rectangular park in the drawing are by .
Step 1: Convert the drawing dimensions to actual dimensions.
Using the given scale, we multiply the drawing dimensions by 60 to convert them into meters.
- Actual length =
- Actual width =
Step 2: Calculate the perimeter of the park.
The perimeter of a rectangle is given by the formula:
Substituting the actual length and width:
Final Answer:
The actual perimeter of the park is .
Would you like more details or have any questions?
Here are five related questions:
- How would the perimeter change if the scale was 1 cm = 100 m instead?
- What would be the area of the park in square meters?
- If the park had a walking path along the perimeter, how many laps would make 5 km?
- What is the relationship between the drawing’s dimensions and the actual dimensions?
- How would the problem change if the park had different shapes?
Tip: When working with scale drawings, always ensure to adjust both dimensions before performing any calculations involving perimeter or area.
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Math Problem Analysis
Mathematical Concepts
Scale conversion
Perimeter of a rectangle
Formulas
Perimeter of a rectangle: P = 2 × (length + width)
Scale conversion: Actual length/width = Drawing length/width × scale factor
Theorems
-
Suitable Grade Level
Grades 6-8
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