Math Problem Statement

What is the ans

If each small square on the grid is of side 1 unit, what is the area of the figure?

Solution

Let's analyze the figure in the image.

The figure is made up of several geometric shapes placed on a square grid, where each small square has a side length of 1 unit.

From the image, we can see that the overall shape consists of a combination of triangles and parallelograms, but we can estimate its area by counting how many small squares fit into the shape.

Counting the total number of small square units covered by the figure:

  • There are 12 small squares completely covered by the figure.

Thus, the area of the figure is 12 square units.

The correct answer is D) 12 square units.

Would you like any further details or clarifications on this problem?

Here are some related questions to explore further:

  1. How do you calculate the area of irregular shapes on a grid?
  2. What other methods can you use to calculate the area of a composite figure?
  3. How does symmetry play a role in finding the area of complex figures?
  4. What is the formula for finding the area of triangles and parallelograms?
  5. How can you break down irregular shapes into simpler parts to calculate their areas?

Tip: When working with grid-based problems, try counting the squares within and around the figure for an easy estimate of the area.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Grids

Formulas

Area = length × width for rectangles
Area of triangles

Theorems

Area calculation for composite shapes

Suitable Grade Level

Grade 7