Math Problem Statement

Priscilla made a scale drawing of a swimming pool that has a scale of 1 inch = 4 meters. The actual dimensions of the pool are 48 meters in length and 32 meters in width. What are the dimensions of the pool in the scale drawing?

Solution

The problem asks to label the dimensions of a scale drawing of a swimming pool, with the scale being 1 inch = 4 meters. The actual pool dimensions are 48 meters in length and 32 meters in width.

To calculate the dimensions for the scale drawing:

  1. Length: 48 meters4 meters per inch=12 inches\frac{48 \text{ meters}}{4 \text{ meters per inch}} = 12 \text{ inches}
  2. Width: 32 meters4 meters per inch=8 inches\frac{32 \text{ meters}}{4 \text{ meters per inch}} = 8 \text{ inches}

Thus, the dimensions of the scale drawing would be:

  • Length: 12 inches
  • Width: 8 inches

Would you like more details on the calculations?

Here are five related questions to extend this concept:

  1. If the scale was 1 inch = 2 meters, what would the new dimensions of the scale drawing be?
  2. How would you convert the scale to centimeters?
  3. What is the area of the pool in square meters?
  4. How many square inches would the pool's area occupy in the scale drawing?
  5. Can the scale be expressed as a ratio? If so, what would it be?

Tip: When scaling down objects, always check if both dimensions (length and width) scale equally according to the ratio.

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Math Problem Analysis

Mathematical Concepts

Ratios and Proportions
Scale Drawings
Unit Conversion

Formulas

Scale factor = Drawing dimension / Actual dimension

Theorems

Proportionality in Scale Drawings

Suitable Grade Level

Grades 6-8