What percentage of the shape is pink?
Understand the Problem
The question is asking to calculate the percentage of a shape that is colored pink compared to the total area of the shape. This involves determining the number of pink grid squares relative to the total number of squares in the shape and then expressing that as a percentage.
Answer
$75\%$
Answer for screen readers
The percentage of the shape that is pink is $75%$.
Steps to Solve
- Count the total squares in the shape
Determine the total number of smaller squares that make up the larger shape. In this example, the shape is an 8x8 grid, so:
Total squares = $8 \times 8 = 64$
- Count the pink squares
Next, count how many of those squares are colored pink. In the image, we can see 48 pink squares.
- Calculate the percentage
To find the percentage of the shape that is pink, use the formula:
[ \text{Percentage} = \left( \frac{\text{Number of pink squares}}{\text{Total squares}} \right) \times 100 ]
Substituting in the numbers:
[ \text{Percentage} = \left( \frac{48}{64} \right) \times 100 ]
- Perform the calculation
Calculate the fraction:
[ \frac{48}{64} = 0.75 ]
Then multiply by 100 to convert to a percentage:
[ 0.75 \times 100 = 75% ]
The percentage of the shape that is pink is $75%$.
More Information
The calculation shows that 75% of the area in the given shape is covered by pink squares, indicating a significant portion of the overall area is colored pink.
Tips
- Miscounting the number of pink squares: Always double-check the squares to ensure accuracy.
- Confusing total squares with pink squares: Make sure to differentiate between them when performing calculations.
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