SOLUTION: The combined area of two squares is 148 square meters. The sides of the larger square are 6 times as long as the sides of the smaller square. Find the dimensions of each of the squ

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Question 600399: The combined area of two squares is 148 square meters. The sides of the larger square are 6 times as long as the sides of the smaller square. Find the dimensions of each of the squares.
Answer by mananth(16946) About Me  (Show Source):
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Two squares
small square ---side = s
Area =+s%5E2
Larger square side = 6s
area =+%286s%29%5E2
area = 36s%5E2
36s%5E2%2Bs%5E2=+148
37s%5E2=148
/37
s%5E2=+148%2F37
s%5E2=+4
s= +/-2
ignore negative since length cannot be negative
side of smaller square = 2m
Length of side of bigger square = 6 *2 = 12m
Check
Total area = 2^2+ 12^2=148