The square below represents one whole. An array with $10$ columns and $10$ rows that represents $1$ whole. $2$ rows of $10$ are shaded. $1$ row of $9$ is shaded. An array with $10$ columns and $10$ rows that represents $1$ whole. $2$ rows of $10$ are shaded. $1$ row of $9$ is shaded. What percent is represented by the shaded area?

Full solution

Q. The square below represents one whole. An array with

10

columns and

10

rows that represents

1

whole.

2

rows of

10

are shaded.

1

row of

9

is shaded. An array with

10

columns and

10

rows that represents

1

whole.

2

rows of

10

are shaded.

1

row of

9

is shaded. What percent is represented by the shaded area?

Calculate Total Squares: Determine the total number of squares in the array. $\newline$ Since the array has $10$ columns and $10$ rows, the total number of squares is $10$ columns $\times$ $10$ rows. $\newline$ Calculation: $10 \times 10 = 100$ squares.
Calculate Shaded Squares: Calculate the number of shaded squares. $\newline$ There are $2$ full rows of $10$ shaded and $1$ row with $9$ shaded. $\newline$ Calculation: $($2$ \text{ rows} \times $10$ \text{ squares/row}) + ($1$ \text{ row} \times $9$ \text{ squares/row}) = $20$ \text{ squares} + $9$ \text{ squares} = $29$ \text{ shaded squares}.
Find Shaded Area Percentage: Find the percentage of the shaded area.$\newline$To find the percentage, divide the number of shaded squares by the total number of squares and multiply by $100$.$\newline$Calculation: $(29$ shaded squares $/ 100$ total squares) $* 100\% = 29\%$.