If the longest side of 6 feet, and the narrowest side is 2 feet, then the area is 6 x 2 = 12 square feet.
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x^2 - 4x -12 = 0 (x + 2) (x - 6) = 0 x + 2 = 0 or x - 6 = 0 x + 2 - 2 = 0 -2 or x - 6 + 6 = 0 + 6 x = -2 or x = 6
factors of 6 are: 1, 2, 3, and 6. 1 x 6=6, 2 x 3=6, 3 x 2=6, 6 x 1 = 6
Factorization of 48 is: 1 x 48 2 x 24 3 x 16 4 x 12 6 x 18 8 x 6 The Prime Factorization of 48 is: 2 x 24 2 x 2 x 12 2 x 2 x 2 x 6 2 x 2 x 2 x 2 x 3
The factor pairs are factor strings of length 2: 1 x 48, 2 x 24, 3 x 16, 4 x 12, 6 x 8 The prime factorization is the longest factor string, which has a length of 5: 2 x 2 x 2 x 2 x 3 There are other factor strings: 2 x 2 x 12 2 x 3 x 8 2 x 4 x 6 2 x 2 x 2 x 6 2 x 2 x 3 x 4
The LCM of 6, 16 and 44 is 528. 6 x 88 = 528 16 x 33 = 528 44 x 12 = 528 prime factorization: 6 = 2 x 3 16 = 2 x 2 x 2 x 2 = 24 44 = 2 x 2 x 11 = 22 x 11 The LCM o 6, 16, and 44 is 24 x 3 x 11 = 528.