Math Problem Statement
Find the area of the shaded figure (a square) in a grid where each square unit represents 1 unit by 1 unit.
Solution
To find the area of the shaded figure, we will calculate the area of the square based on the grid and unit measurement.
Step-by-step solution:
- Each square in the grid represents 1 unit by 1 unit.
- The shaded square occupies a grid of 4 units by 4 units.
- The area of a square is calculated by the formula:
- Since the side length is 4 units:
Final Answer:
The area of the shaded figure is 16 square units.
Would you like further details or clarifications? Here are five related questions that expand on this:
- What is the formula for finding the area of a rectangle or other quadrilaterals?
- How does the area change if the side length of the square is doubled?
- How can you find the perimeter of the shaded figure?
- How would the area calculation change for other polygon shapes?
- What are some real-world applications of calculating area for squares?
Tip: When dealing with grids, counting the squares or using unit measurements is an efficient way to calculate areas of regular shapes.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Squares
Formulas
Area of a square = side length^2
Theorems
Properties of squares
Area of two-dimensional shapes
Suitable Grade Level
Grades 4-6