Math Problem Statement
Solution
The image you uploaded shows a rectangle with mixed numbers labeled for its length and width. The dimensions given are:
- Length:
- Width:
To calculate the area of the rectangle, we use the formula for the area of a rectangle:
Let's first convert the mixed numbers to improper fractions:
Now we can multiply the two fractions to find the area:
Finally, converting the improper fraction back to a mixed number:
So, the area of the rectangle is:
Would you like more details on any part of this calculation?
Here are five related questions to deepen your understanding:
- How do you convert any mixed number into an improper fraction?
- How can you multiply two fractions step by step?
- Can the same method be applied to other shapes, like triangles or circles?
- How would you handle the calculation if the dimensions were given in decimals instead of fractions?
- What is the perimeter of this rectangle, and how would you calculate it?
Tip: Always simplify mixed numbers and fractions before performing operations to avoid errors in larger calculations.
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Math Problem Analysis
Mathematical Concepts
Fractions
Multiplication of Mixed Numbers
Area of Rectangles
Formulas
Area of a Rectangle = Length × Width
Theorems
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Suitable Grade Level
Grades 6-8
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