Question #9ad4b

1 Answer
Jun 20, 2016

Answer:

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 !