Math Problem Statement
Solution
To solve the problem in the uploaded image, let's break it down into parts based on the Bengali text.
Question Breakdown:
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The rectangular field has:
- Length increased by 2 meters.
- Breadth increased by 6 meters.
- The total area becomes 84 square meters.
Find the perimeter of the field.
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Every 25 meters of boundary fence costs 20 Taka. Calculate the total cost of fencing the entire boundary.
Solution:
Part 1: Finding Dimensions and Perimeter
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Let the original length be meters and breadth be meters.
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From the given changes:
- New length =
- New breadth =
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Area of the rectangle: Expanding:
Since
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Math Problem Analysis
Mathematical Concepts
Algebra
Area and Perimeter
Proportions
Formulas
Area of rectangle: Area = length × breadth
Perimeter of rectangle: Perimeter = 2 × (length + breadth)
Theorems
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Suitable Grade Level
Grades 7-9
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