Questions: In a rectangle diagram there are three rows shaded and 4 2/3 columns shaded. What is the area of the shaded region in square units?
square units
Transcript text: 13. In a rectangle diagram there are three rows shaded and $4 \frac{2}{3}$ columns shaded. What is the area of the shaded region in square units?
$\qquad$ square units
Solution
Solution Steps
To find the area of the shaded region in the rectangle, multiply the number of shaded rows by the number of shaded columns. The number of columns is given as a mixed number, so it should be converted to an improper fraction or a decimal before performing the multiplication.
Step 1: Identify the Dimensions
The number of shaded rows is given as \( 3 \). The number of shaded columns is given as \( 4 \frac{2}{3} \), which can be converted to an improper fraction:
\[
4 \frac{2}{3} = \frac{14}{3} \approx 4.6667
\]
Step 2: Calculate the Area
The area \( A \) of the shaded region can be calculated using the formula:
\[
A = \text{(number of shaded rows)} \times \text{(number of shaded columns)}
\]
Substituting the values:
\[
A = 3 \times \frac{14}{3} = 14
\]
Final Answer
The area of the shaded region is \\(\boxed{14}\\) square units.