Math Problem Statement

Suppose that the home you are buying sits on a rectangular shaped lot that is 290 feet by 115 feet. Convert this area to square meters.

Solution

To convert the area of a rectangular lot from square feet to square meters, follow these steps:

  1. Calculate the area in square feet: Area (in square feet)=Length×Width\text{Area (in square feet)} = \text{Length} \times \text{Width} Area=290ft×115ft=33,350square feet\text{Area} = 290 \, \text{ft} \times 115 \, \text{ft} = 33,350 \, \text{square feet}

  2. Convert square feet to square meters: The conversion factor from square feet to square meters is: 1square foot=0.092903square meters1 \, \text{square foot} = 0.092903 \, \text{square meters} So, Area (in square meters)=33,350square feet×0.092903square meters per square foot\text{Area (in square meters)} = 33,350 \, \text{square feet} \times 0.092903 \, \text{square meters per square foot} Area3,097.24square meters\text{Area} \approx 3,097.24 \, \text{square meters}

Thus, the area of the lot is approximately 3,097.24 square meters.

Would you like more details or further explanation on any part of this? Here are some related questions to explore:

  1. How do you convert square yards to square meters?
  2. What is the perimeter of this lot in feet and meters?
  3. If the price of land is $50 per square meter, what would the total cost be?
  4. How does one calculate the diagonal of the lot?
  5. What is the difference between area and perimeter?

Tip: Always use the proper conversion factor when switching between units. For areas, the square of the linear conversion factor is used!

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Math Problem Analysis

Mathematical Concepts

Area Calculation
Unit Conversion
Geometry

Formulas

Area (in square feet) = Length × Width
1 square foot = 0.092903 square meters
Area (in square meters) = Area (in square feet) × 0.092903

Theorems

Unit conversion rules for area

Suitable Grade Level

Grades 8-10