 Middle Years

# 9.05 Composite shapes

Worksheet
Perimeter of composite shapes
1

For each of the following composite shapes:

i

State the basic shapes that make up the composite shape.

ii

Find the perimeter.

a
b
c
d
e
2

Find the perimeter of the following composite shapes, to two decimal places:

a
b
c
d
e
Area of composite shapes
3

Find the shaded area in the following figures, correct to one decimal place:

a
b
c
d
e
f
g
h
i
j
k
l
4

Find the exact shaded area of the following figures:

a
b
c
d
e
f
5

For each of the following composite shapes:

i

State the basic shapes that make up the composite shape.

ii

Find the exact area.

a
b
6

Tricia is drawing a yin-yang symbol. She chooses to make the radius of the overall circle be 16 \,\text{cm} and the radius of the small circles be 2 \,\text{cm}:

Find the area of the shaded part of the symbol.

Applications
7

A piece of origami paper, orginally in the shape of a parallelogram, is folded along its shortest diagonal as shown.

What is the total area covered by the folded paper?

8

Lachlan designs a plot of land which contains his house and garden as shown in the diagram:

a

Find the total area of the plot of land.

b

Find the area of the garden.

9

The figure shows a plan of a dining room floor, which is to be tiled with slate tiles.

a

Calculate the area to be tiled. Round your answer to the nearest metre squared.

b

If the cost of tiling is \\$10/m^2, how much will it cost to tile the dining room floor?

10

The back cover of a mobile phone is shown in the following diagram. The rounded corners are quadrants:

Find the area of the back cover, excluding the circular camera lens. Round your answer to two decimal places.