Algebra 1 Area and Perimeter Concepts

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Questions and Answers

What is the area of a square in terms of its side length?

  • A=s^2
  • A=4s
  • A=s + s
  • A=2s (correct)

What is the perimeter of a square if the side length is represented by s?

P=4s

What is the area of a rectangle?

A=l x w

What is the perimeter of a rectangle?

<p>P=(2l) + (2w)</p> Signup and view all the answers

What is the area of a triangle?

<p>A=1/2bh</p> Signup and view all the answers

What is the perimeter of a triangle?

<p>P=a + b + c</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>A=\pi r^2</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C=2\pi r</p> Signup and view all the answers

What is the Pythagorean Theorem?

<p>a^2 + b^2 = c^2</p> Signup and view all the answers

What is the result of negative multiplied by negative?

<p>positive</p> Signup and view all the answers

What is the result of negative multiplied by positive?

<p>negative</p> Signup and view all the answers

What is the formula for slope in coordinate geometry?

<p>y2 - y1 / x2 - x1</p> Signup and view all the answers

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Study Notes

Area and Perimeter Formulas

  • Area of a square: A = 2s (s = side length)
  • Perimeter of a square: P = 4s (s = side length)
  • Area of a rectangle: A = l x w (l = length, w = width)
  • Perimeter of a rectangle: P = 2l + 2w

Area and Perimeter of Triangles

  • Area of a triangle: A = 1/2bh (b = base, h = height)
  • Perimeter of a triangle: P = a + b + c (sum of all sides)

Circular Measurements

  • Area of a circle: A = πr² (r = radius, π = Pi)
  • Circumference of a circle: C = 2πr

The Pythagorean Theorem

  • Fundamental relation in right triangles: a² + b² = c² (where c is the hypotenuse)

Slope Calculation

  • Slope formula: m = (y₂ - y₁) / (x₂ - x₁) for two points (x₁, y₁) and (x₂, y₂)

Multiplication Rules

  • Negative multiplied by negative equals positive.
  • Negative multiplied by positive equals negative.

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