Math Problem Statement

Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is 7 inches wide in the drawing. The actual bakery is 42 feet wide. What is the scale of the drawing?

Solution

The problem asks to determine the scale of the drawing.

We know:

  • The width of the bakery in the drawing is 7 inches.
  • The actual width of the bakery is 42 feet.

To find the scale of the drawing, we need to express it as a ratio, comparing inches in the drawing to feet in real life. We set up the proportion like this:

Scale=width in drawingactual width=7inches42feet\text{Scale} = \frac{\text{width in drawing}}{\text{actual width}} = \frac{7 \, \text{inches}}{42 \, \text{feet}}

To simplify this, divide both numbers by 7:

742=16\frac{7}{42} = \frac{1}{6}

This means the scale of the drawing is 1 inch : 6 feet.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. How do you convert between inches and feet in scale drawings?
  2. If another building in the drawing is 10 inches wide, how wide is it in real life using the same scale?
  3. How would the scale change if the bakery were drawn 14 inches wide instead?
  4. How do you use a scale to find the actual dimensions of irregular shapes in a drawing?
  5. How can you convert the scale to other units, such as meters?

Tip: When working with scales, always keep the units consistent to avoid errors in calculations.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Scale Drawings

Formulas

Scale = (width in drawing) / (actual width)

Theorems

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Suitable Grade Level

Grades 5-7