Math Problem Statement

Calcola l’area del poligono ABCDE.

Solution

The image shows a pentagon labeled ABCDE with grid lines around it, and the task is to calculate its area. Since the polygon appears on a grid where the squares are labeled with a side of 1 cm, the area can be calculated by counting how many squares the polygon occupies.

Here's a step-by-step guide to solve it:

  1. Count the number of full squares: Count how many complete grid squares the polygon occupies.
  2. Count partial squares: Count any partial squares, and if they form half or more, round them up.
  3. Calculate the area: Once the total number of full and partial squares is counted, the area of the polygon is simply the total number of squares.

Would you like a more detailed explanation or help with counting the squares in the grid? Let me know if you have any questions!

Related Questions:

  1. How do you calculate the area of irregular polygons in a grid?
  2. What other methods exist to calculate the area of a polygon when given its vertices?
  3. How can we use coordinate geometry to find the area of a polygon?
  4. What is the formula for the area of a pentagon if you know the length of the sides and the apothem?
  5. How can counting grid squares be used for calculating areas of irregular shapes in real-world applications?

Tip: When counting squares, break down the polygon into smaller, manageable sections to make the process easier.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Grid Method

Formulas

Area = Total Full Squares + (Total Partial Squares / 2)

Theorems

Decomposition Method for Irregular Polygons

Suitable Grade Level

Grades 6-8