The plan of a square area of land is drawn below.

A mining licence is granted over part of the land.

All measurements are given in kilometres.
 

The area of land the mining licence covers is

Kate owns a farm with a square paddock. She increases the area of the paddock by changing it into the shape of trapezium.
 

What is the area of the new paddock, in square metres?   (2 marks)

An irregular shaped lawn is pictured below, with all measurements in metres.
  

What is the area of the lawn in square metres?   (3 marks)

A plan of Zev's backyard is shown.
  

Zev wants to fertilise the lawn in his backyard and needs to know the total area.

What is the total area of Zev's lawn, in square metres?   (2 marks)

Harry has an irregularly shaped back yard.
  

What is the area of Harry's back yard?

Pablo cuts a square out of a rectangular piece of paper, as shown below.

The square Pablo cut out has a side length of 6 cm.

Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?

A trapezium is constructed on a grid of 10 rectangles.

Each rectangle measures  3 cm × 7 cm.

Find the area of the trapezium?   (2 marks)

Olive drew this plan of her lawn.

Which expression gives the area of Olive's lawn?

The diagram shows the shape of Carmel’s garden bed. All measurements are in metres.
  

Show that the area of the garden bed is 57 square metres.  (2 marks)

What is the area of the shaded part of the figure?   (2 marks)