Question

Analyze the given images and choose the correct statement.
Grid 1 Grid 2

• 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 B 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 $1=\frac{70}{100}\times 100=70\%$

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 $2=\frac{21}{30}\times 100=70\%$
So, percentage of shaded region in Grid $1=$ percentage of shaded region in Grid $2$