Math Problem Statement
L
Solution
To find the area of the shaded part of the rectangle, we'll need to calculate the area of the rectangle and then subtract the area of the unshaded triangle.
-
Calculate the area of the rectangle:
-
Calculate the area of the unshaded triangle: The base of the triangle is the same as the width of the rectangle, which is 19 inches. The height of the triangle is the difference between the height of the rectangle and the vertical height of the shaded part, which is .
-
Calculate the area of the shaded part:
Thus, the area of the shaded part of the rectangle is .
Would you like more details or have any questions?
Here are five related questions to expand your understanding:
- How do you find the area of a parallelogram?
- What is the formula for the area of a trapezoid?
- How can you determine the area of a complex shape by dividing it into simpler shapes?
- What is the significance of understanding areas in real-world applications?
- How do you find the perimeter of the shaded part of the rectangle?
Tip: When solving geometry problems involving composite shapes, always identify and calculate the areas of the simpler shapes first, then combine them as needed.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Area of Composite Shapes
Subtraction of Areas
Formulas
Area of rectangle = length × width
Area of triangle = 1/2 × base × height
Theorems
Area subtraction of composite shapes
Suitable Grade Level
Grades 6-8
Related Recommendation
Finding the Area of a Shaded Region - Rectangle and Triangle
Calculate the Area of a Shaded Region with Triangle and Rectangle
Calculating the Area of Shaded Regions in a Rectangle with a Triangle
Finding the Area of a Shaded Region in a Right Triangle
Calculate the Shaded Area by Removing a Right Triangle from a Rectangle