The image you uploaded shows a simple cross, which is a geometric figure. Since there is no specific problem or task mentioned in your question, I will assume the task is to
calculate the area of the cross based on its dimensions.
Step-by-Step Solution:
1.
Identify the Shape:
The cross consists of two rectangles:
- A vertical rectangle (forming the "stem" of the cross).
- A horizontal rectangle (forming the "arms" of the cross).
2.
Assume Dimensions:
Let's assume the following dimensions for simplicity (since no specific measurements are provided):
- The vertical rectangle has a height \( H \) and a width \( W_1 \).
- The horizontal rectangle has a length \( L \) and a width \( W_2 \).
- The horizontal rectangle overlaps with the vertical rectangle at its center, so the overlapping part should not be double-counted.
3.
Calculate the Area of Each Rectangle:
-
Area of the vertical rectangle:
\[
\text{Area}_{\text{vertical}} = H \times W_1
\]
-
Area of the horizontal rectangle:
\[
\text{Area}_{\text{horizontal}} = L \times W_2
\]
4.
Account for Overlapping Area:
The horizontal rectangle overlaps with the vertical rectangle at its center. The overlapping area is a smaller rectangle with dimensions \( W_1 \) (width of the vertical rectangle) and \( W_2 \) (width of the horizontal rectangle). Thus, the overlapping area is:
\[
\text{Overlapping Area} = W_1 \times W_2
\]
5.
Calculate the Total Area of the Cross:
To avoid double-counting the overlapping area, subtract it from the sum of the areas of the two rectangles:
\[
\text{Total Area} = \text{Area}_{\text{vertical}} + \text{Area}_{\text{horizontal}} - \text{Overlapping Area}
\]
Substituting the expressions:
\[
\text{Total Area} = (H \times W_1) + (L \times W_2) - (W_1 \times W_2)
\]
6.
Final Expression:
The total area of the cross is:
\[
\boxed{(H \times W_1) + (L \times W_2) - (W_1 \times W_2)}
\]
Explanation:
- The formula accounts for the areas of both rectangles but subtracts the overlapping region to ensure no part is counted twice.
- If specific dimensions were provided, you could substitute them into the formula to get a numerical answer.
If you have additional details or a different task in mind, please provide more information, and I can adjust the solution accordingly!
Parent Tip: Review the logic above to help your child master the concept of printable cross pictures.
