Math Problem Statement

  1. If Area of Rectangle is 960 sq m and Length is 24 cm then Find the Breadth of rectangle.

Solution

To find the breadth of the rectangle, we can use the formula for the area of a rectangle:

Area=Length×Breadth\text{Area} = \text{Length} \times \text{Breadth}

We are given:

  • Area = 960 m² (Note: The length is given in centimeters, so we will need to convert it to meters).
  • Length = 24 cm = 0.24 m (since 1 cm = 0.01 m).

Now, substituting the known values into the formula:

960=0.24×Breadth960 = 0.24 \times \text{Breadth}

To find the breadth, divide both sides of the equation by 0.24:

Breadth=9600.24=4000 m\text{Breadth} = \frac{960}{0.24} = 4000 \text{ m}

Thus, the breadth of the rectangle is 4000 meters.

Would you like further clarification or details?

Additional related questions:

  1. How do you convert units between centimeters and meters?
  2. What would happen if the length was given in kilometers instead of centimeters?
  3. How can you calculate the perimeter of this rectangle?
  4. If the area were doubled, how would the new dimensions change?
  5. How does the area of a rectangle relate to its diagonal length?

Tip: Always check the units when solving geometric problems to avoid confusion, especially when combining values in different units like centimeters and meters.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle
Unit Conversion

Formulas

Area = Length × Breadth

Theorems

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Suitable Grade Level

Grades 5-7