A path 1.8 m wide is being built around a rectangular garden. The garden is 8.4 m long and 5.4 m wide. The path is shaded in the diagram.
 

Calculate the area of the path in square metres.  (2 marks)

Tim sketched a plot of land with the following measurements in metres.

What is the area of the land in square metres?  (2 marks)

Calculate the area of the following composite figure in square centimetres   (2 marks)
 

Calculate the area of the following composite figure in metres squared.   (2 marks)
 

Calculate the area of the following composite figure in square centimetres.  (2 marks)
 

Luke builds a rectangular wooden deck in his backyard, with dimension 12 metres by 5 metres.
 

Luke is going to create a 0.5 metre wide path around the full perimeter of his deck.

1. What is the total area of the path in square metres?  (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

2. He is creating the path using pavers at a cost of $92 per square metre. Calculate the cost of the pavers.  (1 mark)
   

   --- 2 WORK AREA LINES (style=lined) ---

A cement slab is laid in Yvette's backyard that forms an 8 metre by 4 metre rectangle.
 

Yvette is going to lay a 0.25 metre wide path around the full perimeter of her slab.

1. What is the total area of the perimeter path in square metres?  (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

2. She is covering the path with artificial grass at a cost of $45 per square metre. Calculate the cost of laying turf on the path.  (1 mark)
   

   --- 2 WORK AREA LINES (style=lined) ---

Ken puts two cardboard squares together, as shown in the diagram below.

The squares have areas of 4 cm² and 25 cm².

Ken draws a line from the bottom left to top right, and shades the region above the line.
 

What is the area of the shaded region?

Anthony is tiling one wall of a bathroom.

The wall has 2 identical windows as shown in the diagram below.
 

What is the total area Anthony has to tile?  (2 marks)

A holiday unit is shaped like a hexagon.

The dimensions of its floor plan are shown below.

What is the total area of the holiday unit in square metres? (2 marks)

A swimming pool is shaped like a hexagon.

The dimensions are given from the top view of the swimming pool.
 

What is the total area of the swimming pool in square metres?   (2 marks)

A plan of Bob's outdoor area is shown below.

1. Calculate the area of Bob's outdoor area in square metres.   (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

2. What is the cost of tiling Bob's outdoor area, if tiles cost $42.50 per square metre?   (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

Bernie drew this plan of his timber deck.
 

Which expression gives the area of Bernie's timber deck?

Vera drew this plan of her entertaining area.

Which expression gives the area of Vera's entertaining area?

Olive drew this plan of her lawn.

Which expression gives the area of Olive's lawn?

Cabins are being built at a camp site.

The dimensions of the front of each cabin are shown in the diagram below.
 

The walls of each cabin are 2.4 m high.

The sloping edges of the roof of each cabin are 2.4 m long.

The front of each cabin is 4 m wide.

The pependicular height the triangular shaped roof is metres.

1. Use Pythagoras to show that the value of is 1.33 m, correct to two decimal places.  (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

2. Calculate the total area of the front of the cabin.  (2 marks)
   

   --- 4 WORK AREA LINES (style=lined) ---

The following diagram shows a cargo ship viewed from above.
 

The shaded region illustrates the part of the deck on which shipping containers are stored.

What is the area, in square metres, of the shaded region?  (2 marks)

A piece of cardboard is shown in the diagram below.
 

The area of the cardboard, in square centimetres, is

1.   4
2. 21
3. 25
4. 29

Consider the diagram below.
 

The shaded area, in square centimetres, is

Calculate the area of the composite figure below.  (2 marks)
 

Calculate the area of the composite figure below.  (2 marks)
 

Mitchell lays rubber matting in his gym, as shown below.
 

What is the area of his gym in square metres?   (2 marks)

Lilo lays turf on his terrace, as shown below.

What is the area of his terrace in square metres?  (2 marks)

A regular hexagon has side length 3.0 cm and height 5.2 cm as shown in the diagram above.

Calculate the area of the hexagon, giving your answer correct to one decimal place.   (3 marks)