Math Problem Statement
Solution
To find the area of the given figure, which consists of a combination of rectangular sections, we can break it down into simpler rectangles, calculate the area of each, and then add them up.
Step-by-Step Solution:
-
Identify Rectangles in the Shape: The figure can be divided into two rectangles:
- Rectangle 1 (the larger bottom rectangle): It has dimensions .
- Rectangle 2 (the smaller top rectangle): It has dimensions .
-
Calculate the Area of Each Rectangle:
- Area of Rectangle 1:
- Area of Rectangle 2:
-
Add the Areas Together:
Final Answer:
The area of the figure is approximately .
Would you like more details or have any questions?
Here are five related questions for further practice:
- How would you find the perimeter of this figure?
- What if the shape had an additional rectangle; how would the approach change?
- How can you calculate the area if the measurements are in different units (e.g., cm and m)?
- How do you find the area of irregularly shaped figures?
- How would you calculate the area if the figure included a semicircle on one of its sides?
Tip: When breaking down complex shapes, label each part clearly and solve step-by-step to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Rectangles
Formulas
Area of a rectangle = length × width
Theorems
-
Suitable Grade Level
Grades 7-9
Related Recommendation
Find the Area of a Composite Figure with Two Rectangles - Geometry Problem
How to Find the Area of a Composite Shape with Given Dimensions
Calculating the Area of a Composite Shape with Rectangles (100m x 60m and 60m x 60m)
Area of Composite Figure Made of Rectangles
Calculate the Area of a Compound Figure with Rectangles