Geometry: Perimeter and Area of Rectangles

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5 Questions

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

P = 2(l + w)

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

15 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

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

Two right angles and two unequal acute angles

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

Two congruent scalene triangles

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

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

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