Question

Analyze the given images and choose the correct statement.

• A. Percentage of shaded region in Grid $1$ $>$ percentage of shaded region in Grid $2$
  
• B. Percentage of shaded region in Grid $1$ $<$ percentage of shaded region in Grid $2$
  
• C. Percentage of shaded region in Grid $1$ $=$ percentage of shaded region in Grid $2$
  

Answer 1

The correct option is C Percentage of shaded region in Grid $1$ $=$ percentage of shaded region in Grid $2$


Grid $1$ is made of $10\times 10$ squares.
Total number of squares in Grid $1$ $=100$
Number of shaded squares in Grid $1$ $=70$
Percentage of shaded region in Grid $1$$=\frac{70}{100}\times 100=70\text{\%}$

Grid $2$ is made of $6\times 5$ squares.
Total number of squares in Grid $2$ $=30$
Number of shaded squares in Grid $2$$=21$
Percentage of shaded region in Grid $2$ $=\frac{21}{30}\times 100=70\text{\%}$
So, percentage of shaded region in Grid $1$ $=$ percentage of shaded region in Grid $2$