It looks like you've uploaded a geometric figure composed of several shapes: two rectangles and two right triangles, arranged symmetrically around a central rectangle. Let's analyze the image and solve the problem step by step.
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Step 1: Understand the Shape
The figure consists of:
- A
central rectangle with dimensions:
- Width = 5 cm
- Height = 8 cm
- Two
rectangles on the left and right sides:
- Left rectangle: 4 cm (width) × 8 cm (height)
- Right rectangle: 3 cm (width) × 8 cm (height)
- Two
right triangles at the top and bottom:
- Each triangle has legs of 3 cm and 4 cm, and a hypotenuse of 5 cm (since $ \sqrt{3^2 + 4^2} = 5 $), which matches the side lengths.
These triangles are right-angled and placed such that their hypotenuses are aligned with the top and bottom edges of the central rectangle.
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Step 2: Identify the Problem
Since no specific question was stated, common problems involving such figures include:
1.
Finding the total area
2.
Finding the perimeter
3.
Determining if it’s a net of a 3D shape
Let’s assume the task is to
find the total area of the entire figure — this is the most likely goal given the labeled dimensions.
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Step 3: Calculate Area of Each Part
####
A. Central Rectangle
- Dimensions: 5 cm × 8 cm
- Area = $ 5 \times 8 = 40 \text{ cm}^2 $
####
B. Left Rectangle
- Dimensions: 4 cm × 8 cm
- Area = $ 4 \times 8 = 32 \text{ cm}^2 $
####
C. Right Rectangle
- Dimensions: 3 cm × 8 cm
- Area = $ 3 \times 8 = 24 \text{ cm}^2 $
####
D. Top Triangle
- Right triangle with legs 3 cm and 4 cm
- Area = $ \frac{1}{2} \times 3 \times 4 = 6 \text{ cm}^2 $
####
E. Bottom Triangle
- Same as top triangle
- Area = $ 6 \text{ cm}^2 $
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Step 4: Total Area
Add all areas together:
$$
\text{Total Area} = 40 + 32 + 24 + 6 + 6 = 108 \text{ cm}^2
$$
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✔ Final Answer:
$$
\boxed{108} \text{ cm}^2
$$
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📌 Additional Insight:
This shape resembles a
net of a 3D object, possibly a
rectangular prism with triangular ends (like a triangular prism). But since the top and bottom are triangles and the sides are rectangles, and the central part connects them, it could be a
net of a triangular prism.
However, in this case, the
triangles are not connected to the same rectangles — they are attached to the top and bottom of the central rectangle. So it's more accurately a
composite 2D figure made of rectangles and triangles.
If your original task was different (e.g., find the perimeter or identify the 3D shape), please clarify and I’ll adjust accordingly!
Let me know if you need help with something else!
Parent Tip: Review the logic above to help your child master the concept of surface area with nets worksheet.
