Question #c260f

1 Answer
Feb 15, 2018

Answer:

Height of the room is #=6 mts#

Explanation:

Given -
Length of the room #=12m#
Cost of preparing the wall#=1.35 #/ # m^2#
Total cost of preparing the wall #=340.20#
Cost of matting the floor#=0.85#/ #m^2#
Total Cost of Matting the floor #= 91.80#
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Let Lenth of the floor be #=l#
Let the width of the floor be #=b#
Then, the area of floor #=lxxb=lb#

Cost of matting the floor#=0.85#/ #m^2#
Total Cost of Matting the floor #=lb xx 0.85=0.85lb#
Since length is #12m#Total Cost of Matting the floor #=12 xx b xx 0.85 = 10.20b#

#10.20b=91.80#
#b=91.80/10.20=9 m#

There are four walls.
Let the height of the wall be#=h#
Total area of wall is #=[2(l+b)]xxh#

#=[2(12+9)]xxh=[2(21)]xxh=42h. m^2#
Total cost of preparing the wall #=42h xx 1.35=56.7h#

#56.7h=340.20#
#h=340.2/56.7=6 m#

Height of the room is #=6 mts#