1. Copy the parallelogram above into your exercise book.
  2. Using the shorter side as the base of the parallelogram, follow the steps above to derive the formula for the area of a parallelogram.
Work out the area of the following parallelograms using the formula. Virtualbox update.
  • Work out the area of the parallelograms. Use the Theorem of Pythagoras to calculate the unknown sides you need. Remember to use the pre-rounded value for height and then round the final answer to two decimal places where necessary.
  • Area of a rhombus = length (times) perp. height

  • Work in your exercise book. Show how to derive the formula for the area of a rhombus.
  • Calculate the areas of the following rhombi. Round off answers to two decimal places where necessary.
  • (triangle)DEG + Area of (triangle)EFG

    (therefore) Area of a kite = (frac{1}{2}) (diagonal 1 (times) diagonal 2)

    Calculate the area of kites with the following diagonals. Give your answers in m2
    1. 150 mm and 200 mm
    2. 25 cm and 40 cm
  • Calculate the area of the kite.
  • (therefore) Area of a trapezium = (frac{1}{2}) (sum of parallel sides) (times) perp. height

  • Calculate the areas of the following 2D shapes. Round off your answers to two decimal places where necessary.
  • length and breadth for rectangles and squares
  • Kite Compositor 1 9 7 Cm Equals

  • bases and perpendicular heights for triangles, rhombi and parallelograms
  • two diagonals for kites.
  • Doubling means to multiply by 2.

  • Work out the perimeter and area of each shape. Round off your answers to two decimal places where necessary.
  • Which figure in each set is congruent to the original figure?
  • Fill in the perimeter (P) and area (A) of each figure in the table below.
    Figure
    Original figure
    Figure with both dimensions doubled
    A
    P =
    A =
    P =
    A =
    B
    A = Owlet 1 5 1 – unbiasedly cute 3d rendering software.
    P =
    A =
    C
    P =
    A =
    P =
    A =
    D
    P =
    A =
    P =
    A =
  • Look at the completed table above. What patterns do you notice? Choose one:
  • When both dimensions of a shape are doubled, its perimeter is doubled and its area is doubled.
  • When both dimensions of a shape are doubled, its perimeter is doubled and its area is four times bigger.
    1. Write down the formulae for the following:
      Perimeter of a square
      Perimeter of a rectangle
      Area of a square
      Area of a rectangle
      Area of a triangle
      Area of a rhombus
      Area of a kite
      Area of a parallelogram
      Area of a trapezium
      Diameter of a circle
      Circumference of a circle
      Area of a circle
      1. Calculate the perimeter of the square and the area of the shadedparts of the square.
      2. Calculate the area of the kite.