Looking at the image, I can see a composite shape made up of three rectangles and two right-angled triangles. The dimensions are clearly labeled on each side.
The problem appears to be asking for the total area of this composite shape. To solve this, I need to calculate the area of each individual shape and then sum them up.
The shapes are:
1. A left rectangle with dimensions 8 cm by 4 cm
2. A middle rectangle with dimensions 8 cm by 5 cm
3. A right rectangle with dimensions 8 cm by 3 cm
4. A top triangle with legs of 4 cm and 3 cm (right-angled)
5. A bottom triangle with legs of 4 cm and 3 cm (right-angled)
I'll calculate the area of each shape:
For rectangles: Area = length × width
- Left rectangle: 8 cm × 4 cm = 32 cm²
- Middle rectangle: 8 cm × 5 cm = 40 cm²
- Right rectangle: 8 cm × 3 cm = 24 cm²
For right-angled triangles: Area = (1/2) × base × height
- Top triangle: (1/2) × 4 cm × 3 cm = 6 cm²
- Bottom triangle: (1/2) × 4 cm × 3 cm = 6 cm²
Total area = 32 + 40 + 24 + 6 + 6 = 108 cm²
Therefore, the total area of the composite shape is 108 square centimeters.
Parent Tip: Review the logic above to help your child master the concept of nets and surface area worksheet.
