Calculating Turf Costs

Charlie4254

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Joined
Feb 12, 2020
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1
I've been sitting here for about an hour trying to work this out and I give up. Not sure if I'm being stupid or what but here it is.

So I need to come up with a formula that calculates the price of turf for someone's garden.

The customer will give us the length and width of their garden in meters.
Turf is sold in 1m x 0.6m rolls for £2.50 each
Must add 10% of the total number of rolls of turf to allow for wastage
 

Subhotosh Khan

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Jun 18, 2007
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22,158
I've been sitting here for about an hour trying to work this out and I give up. Not sure if I'm being stupid or what but here it is.

So I need to come up with a formula that calculates the price of turf for someone's garden.

The customer will give us the length and width of their garden in meters.
Turf is sold in 1m x 0.6m rolls for £2.50 each
Must add 10% of the total number of rolls of turf to allow for wastage
Is this a homework problem from school or work problem?

Give us a typical request from a customer - and we will build from there.
 

Romsek

Full Member
Joined
Nov 16, 2013
Messages
962
What I'd do, since this is real life. I'd round the specs up to the nearest meter by 3 meters.
5 rolls is 1m x 3m.
\(\displaystyle
\text{Let the clients specs be $\ell_{spec} \times w_{spec}$}\\

L=3\left(\left \lfloor \dfrac{\ell}{3} \right\rfloor + 1\right)\\
W=\left \lfloor w\right\rfloor + 1\\
N_\ell = \left \lceil 5 \cdot \dfrac{L}{3} \cdot 1.1 \right \rceil\\
N_w = \lceil W \cdot 1.1 \rceil\\
\text{You would need to purchase $N_\ell \times N_w$ rolls of sod}
\)

Do you understand the symbols I used?

\(\displaystyle \lfloor x \rfloor = \text{the largest integer less than x}\\
\lceil x \rceil = \text{the least integer larger than x}\\
\text{for example, $\lfloor 10.4 \rfloor = 10$}\\
\text{$\lceil 10.4 \rceil = 11$} \)
 
Last edited:

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
6,636
The area of the lawn is lw, "length times width", which the customer tells you. The area of each roll is (1)(0.6)= 0.6 square meters. The number of rolls needed is \(\displaystyle \frac{lw}{0.6}\) and the cost of those rolls is £\(\displaystyle \frac{2.5lw}{0.6}\). To add 10% for wastage multiply that by 1.1: £\(\displaystyle \frac{2.75lw}{0.6}\). I would not round since you are adding "10% for wastage".
 
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