Math Problem Statement
Which one Is bigger 6 feet by 4 feet or 79 inches by 71
Solution
To compare the two areas, we need to convert both dimensions into the same unit (either feet or inches) and then calculate the areas.
1. Convert both dimensions into inches:
-
6 feet by 4 feet:
6 feet = 72 inches
4 feet = 48 inches
The area in inches = 72 × 48 = 3,456 square inches. -
79 inches by 71 inches:
The area = 79 × 71 = 5,609 square inches.
2. Compare the areas:
- 6 feet by 4 feet = 3,456 square inches
- 79 inches by 71 inches = 5,609 square inches
Clearly, the second dimension (79 inches by 71 inches) has a larger area than the first (6 feet by 4 feet).
Summary:
The area of 79 inches by 71 inches is bigger.
Would you like more details or have any questions?
Here are some related questions:
- How do you convert square feet into square inches?
- What is the formula for calculating the area of a rectangle?
- Can you explain how to convert inches to feet?
- What other ways can we measure and compare areas?
- What is the difference between square inches and square feet?
Tip: When comparing areas, make sure to convert all dimensions into the same unit before performing calculations!
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Area Calculation
Comparison of Areas
Formulas
Area of a rectangle = length × width
Conversion of feet to inches: 1 foot = 12 inches
Theorems
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Suitable Grade Level
Grades 6-8