QQuestionMathematics
QuestionMathematics
Zach creates a rectangle with an area of 6 square inches. Luke makes a rectangle with an area of 6 square centimeters. Do the two rectangles have the same area? Why or why not?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the Given Information
- Zach's rectangle has an area of 6 square inches - Luke's rectangle has an area of 6 square centimeters
Step 3:: Convert Units
1 \text{ square inch} = 6.4516 \text{ square centimeters}
To compare the areas, we need to convert the units to the same measurement system. Let's convert square centimeters to square inches:
Step 4:: Calculate the Equivalent Area
6 \text{ cm}^{2} \div 6.4516 = 0.93 \text{ in}^{2}
Convert Luke's 6 square centimeters to square inches:
Step 5:: Compare the Areas
- Zach's rectangle: 6 square inches - Luke's rectangle: 0.93 square inches
Step 6:: Conclusion
The two rectangles do NOT have the same area. Luke's rectangle has a smaller area (0.93 square inches) compared to Zach's rectangle (6 square inches).
Final Answer
The rectangles have different areas due to the difference in unit measurements.
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