Math Problem Statement

A house has a 0.5 acre lot. Approximate an acre as 40,000 sq ft. How many square feet is the house's lot?

Solution

To approximate the area of the house's lot in square feet:

1 acre ≈ 40,000 square feet.

Since the lot is 0.5 acre:

Area of lot=0.5×40,000sq ft=20,000sq ft\text{Area of lot} = 0.5 \times 40,000 \, \text{sq ft} = 20,000 \, \text{sq ft}

Thus, the house's lot is approximately 20,000 square feet.

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

Here are some related questions:

  1. How would the lot's area change if it were 0.75 acres instead?
  2. If the lot were measured in square meters, how would you convert this?
  3. How many square feet would 2 acres represent?
  4. What is the area of a 1.25-acre lot in square feet?
  5. How does this compare to the size of a football field (about 57,600 sq ft)?

Tip: To convert between different units of area, always remember the conversion factor between acres and square feet.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Area Calculation

Formulas

Area = Lot size in acres × Conversion factor (sq ft per acre)

Theorems

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Suitable Grade Level

Grades 5-7