Dimensions of a building?
A small office unit is to contain 500 ft^2500ft2 of floor space.
(a) express the length yy of the building as a function of the width xx
(b) if the walls cost $100$100 per running foot express the cost CC of the walls as a function of the width xx (Disregard the wall space above the doors and the thickness of the walls.)
I figured out (a) to be y(x) = 500/xy(x)=500x
but im having trouble with (b)
A small office unit is to contain
(a) express the length
(b) if the walls cost
I figured out (a) to be
but im having trouble with (b)
1 Answer
Explanation:
.
Your answer to part
Part
The total length of the walls is the perimeter of the building plus the middle divider but we have to subtract the widths of the two doors.
Let the perimeter be
Now, we can substitute your answer from part