Find the greatest shaded area |  Math Challenge

In this question, three different figures are presented, each with a shaded area. Our goal is to determine which of these figures has the largest shaded portion. At first glance, the figures might appear similar, but by closely examining and comparing the shaded areas, we can clearly identify which one takes up the most space. This type of question helps sharpen our skills in comparing areas and understanding how to calculate shaded portions in different shapes. Let’s dive in, analyze the figures, and figure out which one has the greatest shaded area!

 

Question: Which figure has the greatest shaded area? (Assume that the smallest sqaure of each colour is same)

which figure has the greates shaded area figures

Answer: A has greatest shaded area.

Explanation:

Figure A:
In Figure A, there are a total of 15 squares, with 2 unshaded squares.
So, the number of shaded squares is:
15 squares - 2 unshaded squares = 13 shaded squares.

Figure B:
In Figure B, there are 16 squares, with 4 unshaded squares.
So, the number of shaded squares is:
16 squares - 4 unshaded squares = 12 shaded squares.

Figure C:
In Figure C, there are 14 squares, with 2 unshaded squares.
So, the number of shaded squares is:
14 squares - 2 unshaded squares = 12 shaded squares.

 

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Conclusion:
After carefully counting the shaded squares in each figure, we can clearly see that Figure A has the most shaded area. With 13 shaded squares, it covers a larger portion of the figure compared to Figures B and C, both of which have only 12 shaded squares. Therefore, Figure A has the greatest shaded area.

 

Final Thoughts:
This exercise shows us how to approach problems involving areas and comparisons. By counting the shaded and unshaded portions, we can easily determine which figure occupies the most space with its shaded part. Understanding this concept is useful for various math problems and helps us develop strong analytical skills. So, when faced with a similar question in the future, use this simple counting method to find your answer quickly and accurately!


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