ABCD is a square with area 9. efgc is a square in which EC=1/3(BC). HIJC is s square in which HC=1/3(EC). If this pattern is continued so that there are a total of ten squares with common vertex at C. and in which each square lies inside its predecessor, what is the area of the tenth square?
That answer is correct.
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how to solve this problem. please explain!
ABCD has area 3 x 3 = 9 = 9 ^ 1
EFCG has area 1 x 1 = 1 = 9 ^ 0
HICJ has area 1/3 x 1/3 = 1/9 = 9 ^ -1
KLCM has area 1/9 x 1/9 = 1/81 = 9 ^ -2
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10th square has area 3^ -8 x 3 ^ -8 = 9 ^ -8
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