Based on the analysis of the provided image, which shows a math worksheet with four problems, here is the solution and explanation for each problem:
The worksheet contains four problems, all related to calculating the area of basic geometric shapes: triangles and rectangles. The handwritten solutions are correct for all problems.
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Problem 1 (Top-Left): Area of a Triangle
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Question: "底 12cm, 高 8cm" (Base 12cm, Height 8cm)
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Solution: $12 \times 8 \div 2 = 48$
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Explanation: The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Plugging in the given values: $\frac{1}{2} \times 12 \times 8 = 6 \times 8 = 48$. The answer is $48 \text{ cm}^2$.
Problem 2 (Top-Right): Area of a Rectangle
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Question: "长 15cm, 宽 8cm" (Length 15cm, Width 8cm)
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Solution: $15 \times 8 = 120$
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Explanation: The formula for the area of a rectangle is $\text{length} \times \text{width}$. Plugging in the given values: $15 \times 8 = 120$. The answer is $120 \text{ cm}^2$.
Problem 3 (Bottom-Left): Area of a Triangle
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Question: "底 10cm, 高 6cm" (Base 10cm, Height 6cm)
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Solution: $10 \times 6 \div 2 = 30$
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Explanation: Using the triangle area formula again: $\frac{1}{2} \times \text{base} \times \text{height}$. Plugging in the values: $\frac{1}{2} \times 10 \times 6 = 5 \times 6 = 30$. The answer is $30 \text{ cm}^2$.
Problem 4 (Bottom-Right): Area of a Rectangle
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Question: "长 9cm, 宽 7cm" (Length 9cm, Width 7cm)
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Solution: $9 \times 7 = 63$
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Explanation: Using the rectangle area formula: $\text{length} \times \text{width}$. Plugging in the values: $9 \times 7 = 63$. The answer is $63 \text{ cm}^2$.
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In summary, all four problems on the worksheet have been correctly solved using the appropriate formulas for the area of triangles and rectangles. The final answers are:
1. $48 \text{ cm}^2$
2. $120 \text{ cm}^2$
3. $30 \text{ cm}^2$
4. $63 \text{ cm}^2$
Parent Tip: Review the logic above to help your child master the concept of gina wilson math worksheet.
