Math Problem Statement

The area of a square wall is 151 square feet. What is the measurement of the wall in feet?

The wall measures

Solution

To find the measurement of the wall, we need to determine the side length of the square. The area AA of a square is given by the formula:

A=s2A = s^2

where ss is the side length of the square. Given that the area is 151 square feet, we can solve for ss by taking the square root of the area:

s=15112.29 feets = \sqrt{151} \approx 12.29 \text{ feet}

So, the wall measures approximately 12.29 feet on each side.

Would you like more details or have any questions?

Here are 8 related questions for further exploration:

  1. How would you find the side length if the area were given in square meters instead of square feet?
  2. What would be the perimeter of this square wall?
  3. How does the side length change if the area is doubled?
  4. How can you calculate the diagonal of the square wall using the side length?
  5. If the wall were a rectangle with the same area, how would you find its dimensions?
  6. How does the side length compare to the area as the area increases?
  7. How would the side length change if the area were decreased by 25%?
  8. What would the side length be if the area were 100 square feet instead?

Tip: For any square, knowing the area directly gives you a quick way to calculate the side length by taking the square root.

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Math Problem Analysis

Mathematical Concepts

Geometry
Square
Area Calculation

Formulas

Area of a square: A = s^2
Square root calculation

Theorems

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Suitable Grade Level

Grades 6-8