Let's extend our knowledge of area, perimeter and volume.

You should know the following formulas

• Area

  • Square/Rectangle = (L x W)
  • Triangle = (L x W) ÷ 2
  • Irregular shapes – cut the shape to make smaller shapes and if possible apply formulas and then total

• Perimeter – add all sides together

• Volume – cubish, l x w x h

Now, let's do some example questions:

Q9 - The area enclosed in this shape is 16 square units.

What is the area of the shaded shape?

A 32 square units B 58 square units C 14 square units D 24 square units

Q7 - The perimeter of the shape is

A 56 cm B 78 cm C 54 cm D 92 cm E None of these

Q27 - If Density = Mass ÷ Volume, what is the mass of the solid in the diagram if its density is 400kg/metres cubed?

A 9700 kg B 4200 kg C 10800 kg D 8700 kg E None of these

Questions 6-7 refer to the following information:

James has a rectangular plot. He wants to divide it into three triangular plots.

What will be the total area of the smaller triangular plot?

A 9 square meters B 4 square meters C 6 meters D 2 meters

Q 7 What is the total area of the R and L plot only?

A 12 square meters B 24 square meters C 54 meters D 72 meters

Key Rules to remember:

• Area

  • Square/Rectangle = (L x W)
  • Triangle = (L x W) ÷ 2
  • Irregular shapes – cut the shape to make smaller shapes and if possible apply formulas and then total

• Perimeter – add all sides together

• Volume – cubish, l x w x h

Now it's time to do your assignment.

1. Download the assignment question here.
2. Print it out or if you want to do it electronically, save it.
3. Complete the questions to it.
4. Then check the solutions on the video below or download the ANSWER KEY here.