Question

Question #c260f

Answer 1

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`

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`