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If you have a rectangle divided into two equal parts and one part is shaded, what fraction of the whole rectangle is shaded?
- a)1/2
- b)1/4
- c)3/4
- d)1/3
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If you have a rectangle divided into two equal parts and one part is s...
Understanding the Rectangle Division
When a rectangle is divided into two equal parts, it means that each part has the same area. This is a fundamental concept in geometry that helps in understanding fractions.
Shaded Area Analysis
- If one of the two equal parts is shaded, we need to consider the total area of the rectangle.
- Since the rectangle is divided into two equal parts, each part represents 1/2 of the whole rectangle.
Calculating the Fraction
- When one part is shaded, we can express this as:
- Shaded area = 1 part
- Total area = 2 parts
- Therefore, the fraction of the shaded area compared to the whole rectangle is:
- Shaded area / Total area = 1 part / 2 parts = 1/2
Conclusion
The fraction of the whole rectangle that is shaded is clearly 1/2. Thus, the correct answer to the question is option 'A'.
In summary, when a rectangle is divided into two equal parts and one part is shaded, it visually and mathematically represents half of the entire rectangle, confirming that:
- Shaded Fraction: 1/2 (Option A)
When a rectangle is divided into two equal parts, it means that each part has the same area. This is a fundamental concept in geometry that helps in understanding fractions.
Shaded Area Analysis
- If one of the two equal parts is shaded, we need to consider the total area of the rectangle.
- Since the rectangle is divided into two equal parts, each part represents 1/2 of the whole rectangle.
Calculating the Fraction
- When one part is shaded, we can express this as:
- Shaded area = 1 part
- Total area = 2 parts
- Therefore, the fraction of the shaded area compared to the whole rectangle is:
- Shaded area / Total area = 1 part / 2 parts = 1/2
Conclusion
The fraction of the whole rectangle that is shaded is clearly 1/2. Thus, the correct answer to the question is option 'A'.
In summary, when a rectangle is divided into two equal parts and one part is shaded, it visually and mathematically represents half of the entire rectangle, confirming that:
- Shaded Fraction: 1/2 (Option A)
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Community Answer
If you have a rectangle divided into two equal parts and one part is s...
If one of two equal parts is shaded, it represents half of the whole rectangle, so the shaded fraction is 1/2.
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