Math Problem Statement

Mary has a rectangular poster that is 15 centimeters long and 12 centimeters wide. What is the area of the poster in square meters? Do not round your answer.

Solution

The question asks for the area of a rectangular poster in square meters, given its dimensions in centimeters.

Here's how to solve it:

Given:

  • Length = 15 cm
  • Width = 12 cm

Steps:

  1. Convert dimensions to meters: Since there are 100 centimeters in 1 meter:

    • Length in meters = 15100=0.15\frac{15}{100} = 0.15 meters
    • Width in meters = 12100=0.12\frac{12}{100} = 0.12 meters
  2. Calculate the area: The area AA of a rectangle is given by: A=Length×WidthA = \text{Length} \times \text{Width} Substituting the values: A=0.15×0.12=0.018 square metersA = 0.15 \times 0.12 = 0.018 \text{ square meters}

Thus, the area of the poster is 0.018 square meters.

Let me know if you want further details or clarifications.

Relative Questions:

  1. How do you convert square centimeters to square meters?
  2. What is the formula for calculating the area of a rectangle?
  3. Why is it important to convert units before performing calculations?
  4. How do you calculate areas of irregular shapes?
  5. What other types of units can be used to measure area?

Tip:

Always ensure units are consistent when performing calculations, especially when converting between metric units.

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Math Problem Analysis

Mathematical Concepts

Geometry
Unit Conversion
Area Calculation

Formulas

Area of a rectangle (A = length × width)
Conversion from centimeters to meters (1 meter = 100 centimeters)

Theorems

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Suitable Grade Level

Grades 6-8