Math Problem Statement
The length and breadth of a rectangular field are 120 m and 75 m respectively. Find (i) the area of the field, (ii) the perimeter of the field and the cost of fencing it at ₹40 per meter.
Solution
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Example 1: Area, Perimeter, and Cost of Fencing of a Rectangular Field
- Length of the field = 120 m, Breadth = 75 m.
- (i) Area of the field:
- (ii) Perimeter of the field:
- Cost of fencing:
Example 2: Length and Breadth of a Rectangular Field with a Given Area
- The field's area = 3456 m², and the ratio of length to breadth is 3:2.
- Using the formula for area, we deduce the length and breadth, and the cost of fencing.
Example 3: Area of a Rectangular Plot with a Diagonal
- One side = 35 m, diagonal = 37 m. Using the Pythagorean theorem to find the other side (BC).
Example 4: Area of a Square with a Given Diagonal
- Diagonal of square = 8√2 m.
- Using the formula for the area of a square ().
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Math Problem Analysis
Mathematical Concepts
Area of a Rectangle
Perimeter of a Rectangle
Cost Calculation
Formulas
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2 × (Length + Breadth)
Cost of fencing = Perimeter × Cost per meter
Theorems
-
Suitable Grade Level
Grades 6-8