SOLUTION: two square rooms have a total floor area of 208 square meters.one room is 4 meters longer each way them thevother.find the floor dimensions of each room

Algebra ->  Surface-area -> SOLUTION: two square rooms have a total floor area of 208 square meters.one room is 4 meters longer each way them thevother.find the floor dimensions of each room       Log On


   

Question 1000006: two square rooms have a total floor area of 208 square meters.one room is 4 meters longer each way them thevother.find the floor dimensions of each room
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=side of smaller room
L=S+4m=side of larger room
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S%5E2%2BL%5E2=208m%5E2
S%5E2%2B%28S%2B4%29%5E2=208m%5E2
S%5E2%2B%28S%5E2%2B8S%2B16%29=208m%5E2
2S%5E2%2B8S%2B16=208m%5E2
S%5E2%2B4S%2B8=104m%5E2
S%5E2%2B4S-96=0
%28S%2B12%29%28S-8%29=0
S%2B12=0 OR S-8=0
S=-12 OR S=8
Since the size cannot be negative,
the sides of the smaller room are 8 meters.
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The sides of the larger room are S+4m = 8m+4m = 12 meters.
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CHECK:
S%5E2%2BL%5E2=208m%5E2
%288m%29%5E2%2B%2812m%29%5E2=208m%5E2
64m%5E2%2B144m%5E2=208m%5E2
208m%5E2=208m%5E2