The square below represents one whole. An array with $10$ columns and $10$ rows that represents $1$ whole. $4$ rows of $10$ are shaded. $1$ row of $3$ is shaded. An array with $10$ columns and $10$ rows that represents $1$ whole. $4$ rows of $10$ are shaded. $1$ row of $3$ is shaded. What percent is represented by the shaded area?

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Grade 6

Find what percent one number is of another

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

10

columns and

10

rows that represents

1

whole.

4

rows of

10

are shaded.

1

row of

3

is shaded. An array with

10

columns and

10

rows that represents

1

whole.

4

rows of

10

are shaded.

1

row of

3

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

Calculate Total Squares: First, let's determine the total number of squares in the array. Since the array has $10$ columns and $10$ rows, we can calculate the total number of squares by multiplying the number of columns by the number of rows. $\newline$ Total number of squares = $10$ columns $\times$ $10$ rows
Find Shaded Squares: Now, let's perform the multiplication to find the total number of squares. $\newline$ Total number of squares = $10 \times 10 = 100$ squares
Calculate Shaded Percentage: Next, we need to calculate the number of shaded squares. There are $4$ full rows of $10$ shaded, and $1$ additional row with $3$ shaded squares. $\newline$ Number of shaded squares = $(4 \text{ rows} \times 10 \text{ squares/row}) + (1 \text{ row} \times 3 \text{ squares})$
Calculate Shaded Percentage: Next, we need to calculate the number of shaded squares. There are $4$ full rows of $10$ shaded, and $1$ additional row with $3$ shaded squares. $\newline$ Number of shaded squares = $(4 \text{ rows} \times 10 \text{ squares/row}) + (1 \text{ row} \times 3 \text{ squares})$ Let's perform the calculation to find the number of shaded squares. $\newline$ Number of shaded squares = $(4 \times 10) + (1 \times 3) = 40 + 3 = 43$ squares
Calculate Shaded Percentage: Next, we need to calculate the number of shaded squares. There are $4$ full rows of $10$ shaded, and $1$ additional row with $3$ shaded squares. $\newline$ Number of shaded squares = $(4 \text{ rows} \times 10 \text{ squares/row}) + (1 \text{ row} \times 3 \text{ squares})$ Let's perform the calculation to find the number of shaded squares. $\newline$ Number of shaded squares = $(4 \times 10) + (1 \times 3) = 40 + 3 = 43$ squares To find the percentage of the shaded area, we divide the number of shaded squares by the total number of squares and then multiply by $100$ . $\newline$ Percentage of shaded area = $(\text{Number of shaded squares} / \text{Total number of squares}) \times 100\%$
Calculate Shaded Percentage: Next, we need to calculate the number of shaded squares. There are $4$ full rows of $10$ shaded, and $1$ additional row with $3$ shaded squares. $\newline$ Number of shaded squares = $(4 \text{ rows} \times 10 \text{ squares/row}) + (1 \text{ row} \times 3 \text{ squares})$ Let's perform the calculation to find the number of shaded squares. $\newline$ Number of shaded squares = $(4 \times 10) + (1 \times 3) = 40 + 3 = 43$ squares To find the percentage of the shaded area, we divide the number of shaded squares by the total number of squares and then multiply by $100$ . $\newline$ Percentage of shaded area = $(\text{Number of shaded squares} / \text{Total number of squares}) \times 100\%$ Now, let's perform the division and multiplication to find the percentage. $\newline$ Percentage of shaded area = $(43 / 100) \times 100\% = 43\%$