Math Problem Statement

The area of a rectangular field is 6831 m². If the width of the field is 69 m, what is its length?

Solution

Let's solve the problem step by step! 😊

Given:

  • Area of the rectangular field = 6831 m²
  • Width of the field = 69 m
  • Length of the field = ?

Formula for Area of a Rectangle:

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

Rearranging to find the Length: Length=AreaWidth\text{Length} = \frac{\text{Area}}{\text{Width}}

Substituting the values:

Length=683169\text{Length} = \frac{6831}{69}

Length=99 m\text{Length} = 99 \text{ m}

Final Answer:

The length of the field is 99 meters. ✅

Would you like a detailed explanation or have any questions? 🤔

Related Questions:

  1. How do you calculate the width if the length and area are given?
  2. What is the perimeter of this rectangular field?
  3. If the length increases by 10%, what will be the new area?
  4. How do you find the diagonal of this field?
  5. What are the properties of a rectangle in terms of geometry?

Tip:

Always check your units when working with area and length to avoid miscalculations! ✅

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Math Problem Analysis

Mathematical Concepts

Algebra
Area of a rectangle

Formulas

Area = Length × Width
Length = Area / Width

Theorems

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Suitable Grade Level

Grades 6-8