Question

Question #9ad4b

Answer 1

6 metres

Explanation:

Metaphorically speaking, open up the hall like a box so that all the walls form 1 rectangle. We are given the length of this rectangle as 250m

Known
Total cost `->15000`
Cost for each `1m^2->10`
Perimeter `->250m`

Let the total surface area of the wales be `a`
Let the height of the walls be `h` then

`a=250h`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Method plan")`

`color(brown)("Step 1:")` Determine how many `1m^2` there are using cost.

`color(brown)("Step 2:")` Use the total area to determine height.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Solving for step 1")`

Total `m^2-> ("total cost")/("cost per square metre") = 15000/10 = 1500m^2`

,..............................................................................
`color(blue)("Solving for step 2")`

`color(brown)(a=255h)color(blue)(->1500=250h)`

Divide both sides by 250

`1500/250=250/250h`

But `250/250=1`

`h=6" metres"`

Approximately 19.7 feet high. That's a lot of wall !