Math Problem Statement
Suppose that one of the rooms at your local meetinghouse has a surface area of 59 square yards (yd2). Use the fact that 1 yard = 0.9144 m to convert this measurement to square meters (m2). Round your answer to the nearest tenth. Do not type the units in the space below.
Solution
To convert 59 square yards (yd²) to square meters (m²), we first need to use the conversion factor for linear measurements (1 yard = 0.9144 meters). However, since we are working with square yards, we need to square this conversion factor.
Steps:
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Square the conversion factor:
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Convert 59 yd² to m²:
Thus, 59 square yards is approximately 49.3 square meters.
Would you like more details on how this conversion works, or do you have any further questions?
Related Questions:
- How do you convert square inches to square centimeters?
- What is the relationship between square meters and hectares?
- How can you convert cubic yards to cubic meters?
- What is the difference between linear and square unit conversions?
- How would you convert an area measured in feet squared to miles squared?
Tip:
When converting between square units, always square the linear conversion factor before multiplying.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Area Conversion
Squaring a Conversion Factor
Formulas
Area conversion formula: Area (m²) = Area (yd²) × (Conversion factor)^2
Theorems
Unit Conversion Theorem
Suitable Grade Level
Grades 6-8