Math Problem Statement

The area of a piece of land whose length is 19.06m is 98.159m². calculate the width of the land

Solution

To calculate the width of the land, we can use the formula for the area of a rectangle:

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

Given:

  • Length (LL) = 19.06 m
  • Area (AA) = 98.159 m²

Rearranging the formula to solve for the width (WW):

W=ALW = \frac{A}{L}

Substitute the values:

W=98.15919.06W = \frac{98.159}{19.06}

Calculating:

W5.15mW \approx 5.15 \, \text{m}

The width of the land is approximately 5.15 meters.

Would you like further details on this solution or have any questions?


  1. How would the width change if the length were different?
  2. What units should area and length be in to ensure consistent answers?
  3. Can this approach be applied to irregularly shaped land?
  4. What if both width and length were unknown—how could we find both?
  5. How precise should measurements be for construction purposes?

Tip: When calculating dimensions, double-check units to ensure consistency across values.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Rectangles

Formulas

Area = Length × Width
Width = Area / Length

Theorems

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Suitable Grade Level

Grade 6-8