SOLUTION: a triangle swimming pool with base length of 10 m and attitude of 12m was reduced in suze to dorm a baby swimming piil whose area is 10m^2. Find the scale factor that used to reduc

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Question 1016511: a triangle swimming pool with base length of 10 m and attitude of 12m was reduced in suze to dorm a baby swimming piil whose area is 10m^2. Find the scale factor that used to reduce the swimming pool
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Original swimming poole has surface area of (1/2)*10*12=60 m^2
It is reduced to 1/6 of that.
(1/2)(10/x)(12/x)=10
(120/x^2)=20
x^2=6
x=sqrt(6)
it was reduced by1/ sqrt (6)
(1/2)*(5/3)sqrt(6)*2 sqrt(6)=10