Math Problem Statement
Solution
The problem is asking to determine which sentence best describes a method for finding the area of the given polygon.
Observation:
The polygon is irregular but resembles a trapezoid. To calculate its area using the grid:
- One logical method is to subtract a smaller shape (like a triangle or rectangle) from a larger enclosing shape.
Answer Analysis:
-
Find the sum of the areas of two parallelograms:
This does not apply to the given shape. -
Find the sum of the areas of a parallelogram and a rectangle:
This method does not fit the given figure. -
Find the area of a square and then subtract the area of a triangle:
This method is plausible. The enclosing square could be identified, and the triangle in the top-left corner could be subtracted. -
Find the area of a square and then subtract the area of a rectangle:
This does not fit, as the top-left subtraction involves a triangle, not a rectangle.
Correct Answer:
Find the area of a square and then subtract the area of a triangle.
Would you like further details about how to calculate this area step by step?
Related Questions:
- How do you calculate the area of a square on a grid?
- What is the formula for the area of a triangle?
- How can subtraction of areas be applied to find irregular polygon areas?
- What shapes other than triangles can be subtracted to simplify irregular polygons?
- How does using grids help in determining areas accurately?
Tip:
When solving geometry problems with grids, count the squares carefully and verify if the shapes fit exactly within them!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Polygon Area
Grid-Based Area Calculation
Formulas
Area of a square = side × side
Area of a triangle = 1/2 × base × height
Theorems
-
Suitable Grade Level
Grade 6