Question

In this question you are to provide a quote for landscaping the garden shown in the
diagram below. The owners of the property want two garden beds (one circular, one
triangular). The rest of the unpaved area is to be laid with instant couch grass turf. They
have specified the following requirements:

Answer 1

Triangular garden:
● Garden Soil 20cm deep
● Mulch 5 cm deep
● Single row of sleepers for the edge as shown in plan
Circular garden:
● Garden Soil 20cm deep
● Mulch 5 cm deep
● Concrete edging carried out separately and not to be included in calculation
Grassed area:
Turf using couch grass

A visit to the local landscape supplier provides the following costs.
● Mini nugget bark mulch: $65 per cubic metre and only sold in multiples of 0.5 m3
● Garden soil blend: $75 per cubic metre and only sold in multiples of 0.5 m3
● Delivery costs for mulch and soil:
4 m3
for $40
10 m3
for $50
(Note: $10 extra for mixed loads)
● CCA sleepers: $21 each. Sold in 2.4m lengths (2.4m × 0.2m × 0.1m) and able to be
taken home in customer’s car.
● Couch grass turf: $4.50 per square metre. Delivery costs included in price if order is
over 50 m2
.Your answer should be set out using the following headings.
● Method (Clearly explain in words and diagrams how you go about working out your
solution)
(6 marks)
● Solution (Show the mathematical steps involved in answering your question. These
should also include written explanations where necessary)
(8 marks)
Marks will be awarded for clear presentation of all your calculations.

Answer 2

I have a draft of my answer to the method part of this question, I would like tips and help on making this answer better.

Answer 3

I begin by finding the length of the unknown side of the triangular garden. (Diagram of the garden and formula to be used). From here I can work out the perimeter of the area that is to be grassed/ Two sides of this perimeter are unknown. One of these sides is the length of the unknown side of the triangular garden, the other can be found by subtracting 4 from 7.2
To find the area of the circular garden I substitute 1.5 for r in the formula r = pi r^2 (diagram)
Using these formulas I am able to start calculating how much the materials will cost and how much of these materials is needed.