Math Problem Statement
What is the area of the garden shown in the grid, where each square is 1 ft by 1 ft?
Solution
To find the area of the garden shown in the images, we can follow these steps:
- Observe the Layout: The garden is divided into squares, with each square representing a 1 ft by 1 ft area.
- Count the Squares: Since each square is 1 square foot, counting the total number of squares in the outlined area will give the area in square feet.
Upon examining the garden shape:
- I counted a total of 18 squares within the outlined shape.
- Since each square is 1 square foot, the area of the garden is:
Answer: The correct choice is .
Would you like further details, or do you have any other questions?
Here are some additional questions you might explore based on this problem:
- How would the area change if each square represented 2 ft by 2 ft instead?
- How could you calculate the perimeter of this irregular shape?
- If the garden were extended by adding two more rows of squares to the top, what would the new area be?
- What if each square represented a different measurement, like 0.5 ft by 0.5 ft? How would that affect the area calculation?
- How would the area change if we added an identical shape adjacent to it?
Tip: For irregular shapes, dividing them into known shapes or counting grid units can simplify area calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Counting Squares
Formulas
Area = number of squares × area of each square
Theorems
-
Suitable Grade Level
Grades 5-7