SOLUTION: A room is 12m long and width is 1.5 m more than the height.If the area of the four walls is 105,find the height of the room .

Algebra ->  Surface-area -> SOLUTION: A room is 12m long and width is 1.5 m more than the height.If the area of the four walls is 105,find the height of the room .      Log On


   

Question 988231: A room is 12m long and width is 1.5 m more than the height.If the area of the four walls is 105,find the height of the room .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, length
y, width
h, height
system%28x=12%2Cy=1.5%2Bh%29

One wall's area is xh and the neighboring or adjascent wall's area is yh.
Total WALL area is 2xh%2B2yh=105
2xh%2B2%281.5%2Bh%29h=105
2xh%2B3h%2B2h%5E2=105
2%2A12h%2B3h%2B2h%5E2=105
2h%5E2%2B27h=105
2h%5E2%2B27h-105=0
Not factorable in or with integers.

h=after general solution method formula for quadratic equation
highlight%28h=%28-27%2Bsqrt%281569%29%29%2F4%29
Do whatever you can or want with the expression.
( 3.15 meters )