Math Problem Statement

Pak Kamil memiliki sepetak sawah berukuran panjang 5 8/12 meter dan lebar 3 5/8 meter. Berapa luas sawah Pak Kamil?

Solution

The problem in the image is in Indonesian and translates to:

Pak Kamil owns a plot of land with a length of 58125 \frac{8}{12} meters and a width of 3583 \frac{5}{8} meters. What is the area of Pak Kamil's land?

Step-by-step solution:

  1. Convert the mixed numbers to improper fractions:

    • Length: 58125 \frac{8}{12} meters 5812=5+812=5+23=153+23=1735 \frac{8}{12} = 5 + \frac{8}{12} = 5 + \frac{2}{3} = \frac{15}{3} + \frac{2}{3} = \frac{17}{3}
    • Width: 3583 \frac{5}{8} meters 358=3+58=248+58=2983 \frac{5}{8} = 3 + \frac{5}{8} = \frac{24}{8} + \frac{5}{8} = \frac{29}{8}
  2. The area AA of the rectangular plot is calculated by multiplying the length and width: A=(173)×(298)=17×293×8=49324A = \left( \frac{17}{3} \right) \times \left( \frac{29}{8} \right) = \frac{17 \times 29}{3 \times 8} = \frac{493}{24}

  3. To convert the area into a mixed number: 49324=201324 square meters\frac{493}{24} = 20 \frac{13}{24} \text{ square meters}

Final Answer:

The area of Pak Kamil's land is 20132420 \frac{13}{24} square meters.

Would you like further details or have any questions?


Here are five related questions to expand your understanding:

  1. How do you convert a mixed number to an improper fraction?
  2. What are the steps to multiply fractions?
  3. How would you handle the calculation if the units were different (e.g., meters and centimeters)?
  4. How do you convert an improper fraction to a decimal value?
  5. How can you apply this method to irregular shapes?

Tip: When multiplying mixed numbers, always convert them to improper fractions first for easier calculations.

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Math Problem Analysis

Mathematical Concepts

Fractions
Area Calculation
Mixed Numbers

Formulas

Area of Rectangle = Length × Width

Theorems

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Suitable Grade Level

Grades 5-7