Geometry: Perimeter and Area of Rectangles
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Questions and Answers

What is the formula to calculate the perimeter of a rectangle?

  • P = l × w
  • P = 2lw
  • P = l + w
  • P = 2(l + w) (correct)

    • What is the area of a rectangle with a length of 5 units and a width of 3 units?

  • 10 square units
  • 20 square units
  • 15 square units (correct)
  • 25 square units

    • What is the name of the triangle that can be formed by dividing a rectangle into two parts by drawing a diagonal?

  • Scalene triangle (correct)
  • Isosceles triangle
  • Right triangle
  • Equilateral triangle

    • What are the angles of the scalene triangles formed by dividing a rectangle into two parts by drawing a diagonal?

    <p>Two right angles and two unequal acute angles</p> Signup and view all the answers

    What is the result of the diagonal of a rectangle bisecting the rectangle into two parts?

    <p>Two congruent scalene triangles</p> Signup and view all the answers

    Study Notes

    Perimeter of a Rectangle

    • The perimeter of a rectangle is the distance around the outside of the rectangle.
    • The formula to calculate the perimeter of a rectangle is: P = 2(l + w)
      • Where P is the perimeter, l is the length, and w is the width.

    Area of a Rectangle

    • The area of a rectangle is the amount of space inside the rectangle.
    • The formula to calculate the area of a rectangle is: A = l × w
      • Where A is the area, l is the length, and w is the width.

    Scalene Triangles and Rectangles

    • A scalene triangle is a triangle with all sides of different lengths.
    • A rectangle can be divided into two scalene triangles by drawing a diagonal.
    • The diagonal of a rectangle bisects the rectangle into two congruent scalene triangles.
    • The angles of the scalene triangles are:
      • Two right angles (90°) at the vertices of the rectangle
      • Two unequal acute angles at the vertices where the diagonal meets the sides

    Perimeter of a Rectangle

    • The perimeter of a rectangle is the distance around the outside of the rectangle.
    • Formula to calculate the perimeter: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

    Area of a Rectangle

    • The area of a rectangle is the amount of space inside the rectangle.
    • Formula to calculate the area: A = l × w, where A is the area, l is the length, and w is the width.

    Scalene Triangles and Rectangles

    • A scalene triangle is a triangle with all sides of different lengths.
    • A rectangle can be divided into two scalene triangles by drawing a diagonal.
    • The diagonal of a rectangle bisects the rectangle into two congruent scalene triangles.
    • Angles of the scalene triangles:
      • Two right angles (90°) at the vertices of the rectangle
      • Two unequal acute angles at the vertices where the diagonal meets the sides

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    Description

    Calculate the perimeter and area of rectangles using formulas P = 2(l + w) and A = l × w respectively.

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