Cole is urban planner he wants to create a small scale drawing of a city black the black is a square with sides of the length 100m Draw the city block such that 1 uniy on the grid below represents 5cm

To create a small-scale drawing where 1 unit on a grid represents 5 cm for a city block of 100 m per side, we’ll calculate the required scaling.

### Step-by-Step Solution:

1. **Convert 100 meters to centimeters**:  
   \[
   100 \, \text{m} = 100 \times 100 = 10,000 \, \text{cm}
   \]

2. **Determine the scale factor**:  
   Each unit on the grid represents 5 cm, so we need to find how many units represent 10,000 cm.
   
   \[
   \frac{10,000 \, \text{cm}}{5 \, \text{cm/unit}} = 2000 \, \text{units}
   \]

3. **Draw the city block on a grid**:  
   Draw a square with side lengths of 2000 units, representing the city block in this scaled-down model.

Would you like more detailed steps or a visual representation of this setup?

---

### Relative Questions
1. How would the scale change if each unit represented 10 cm instead of 5 cm?
2. What would happen if the actual block size was reduced to 50 m instead of 100 m?
3. How would this scale translate on a larger city map, including multiple blocks?
4. What challenges might urban planners face in using such scaled representations?
5. If the city block were a rectangle instead of a square, how would we adjust the scale?

### Tip
Always double-check scale units to ensure the drawing remains proportionate to the actual dimensions.

Cole is an urban planner; he wants to create a small-scale drawing of a city block. The block is a square with sides of the length 100m. Draw the city block such that 1 unit on the grid below represents 5 cm.

Learn how to create a scaled drawing of a 100m square city block, where each unit on the grid represents 5 cm. This problem covers concepts in scaling, unit conversion, and proportionality, ideal for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation