Math Problem Statement
Solution
The image contains a mathematical problem written in Bengali. Let me translate and solve it for you step by step:
Problem Breakdown:
- A rectangular field has its length 2 meters greater than its breadth, and its perimeter is 68 meters.
- a) Determine the dimensions (length and breadth) of the field.
- b) If the cost of fencing the field is 20 taka per meter, calculate the total fencing cost.
Solution:
Part (a): Dimensions of the Field
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Let the breadth of the field be x meters.
- Then, the length will be (x + 2) meters.
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The formula for the perimeter of a rectangle is: Substituting the given perimeter (68 meters):
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Simplify the equation:
-
Solve for x:
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So, the breadth is 16 meters, and the length is:
Part (b): Cost of Fencing
- Total length of the fence is the perimeter, which is 68 meters.
- Cost of fencing per meter = 20 taka.
- Total cost of fencing:
Final
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Perimeter Calculation
Formulas
Perimeter of a rectangle = 2 × (Length + Breadth)
Cost = Perimeter × Rate per meter
Theorems
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Suitable Grade Level
Grades 6-8
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