SOLUTION: #32) The lengths of the sides of three squares are s, s+1, s+2. If their total area is 365cm^2, find their total perimeter.

Algebra ->  Formulas -> SOLUTION: #32) The lengths of the sides of three squares are s, s+1, s+2. If their total area is 365cm^2, find their total perimeter.      Log On


   

Question 95703This question is from textbook Geometry
: #32) The lengths of the sides of three squares are s, s+1, s+2. If their total area is 365cm^2, find their total perimeter. This question is from textbook Geometry

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
S^2+(S+1)^2+(S+2)^2=365
S^2+S^2+2S+1+S^2+4S+4=365
3S^2+6S+5-365=0
3S^2+6S-360=0
3(S^2+2S-120=0
(S-10)(S+12)=0
S-10=0
S=10 FOR THE SIDE OF THE SMALLER SQUARE
S=11 & S=12 FOR THE OTHER 2 SQUARES
PERIMETERS=4*10+4*11+4*12=40+44+48=132CM.