- #1
Harriet12
- 4
- 0
I'm dong a question that involves a sink. The aim is to determine the dimensions of the sink (width and length) which will provide the greated cross-sectional area by modelling using an equation. Here's the catch: you are only allowed a sheet of stainless steel that it 60cm wide and a 5cm overlap has to be allowed for on either side of the sink.
So far I've figured this:
when:
c=cross-sectional ares
a=area
l=length
w=width
a= l x w
c=a
so c= l x w
w=60-(10+2L)
therefore:
c= L[60-(10+2L)]
c=60L-10L+2L^2
etc etc. when applying this formula like this:
L = c/w
L = L[60(10+2L)] / 60(10+2L)
eventually L turns out to be 0 (duh i didnt give it a value)
But here comes my question: is there a flaw in my formula or am i completely off-track? please help!
So far I've figured this:
when:
c=cross-sectional ares
a=area
l=length
w=width
a= l x w
c=a
so c= l x w
w=60-(10+2L)
therefore:
c= L[60-(10+2L)]
c=60L-10L+2L^2
etc etc. when applying this formula like this:
L = c/w
L = L[60(10+2L)] / 60(10+2L)
eventually L turns out to be 0 (duh i didnt give it a value)
But here comes my question: is there a flaw in my formula or am i completely off-track? please help!