Respuesta :
Answer:
Proof
18 ( 1 + 1/2) = 27 rectangles
18 + 9 = 27
Same as
17 + 7 + 3 = 27
As 17 x 1.5 = 28
Step-by-step explanation:
18 squares means 18 + all the sequences of sets of numbers shown to show different size rectangles not different rotations of such rectangles.
Sequence set of numbers also is matched with the lowest factors of 18 being 3
We could also say prime factors but left over is 3 and 3^2 = (3 x 1) (3 x 1) so it would be 3, 1 and 2 just the same.
We get 18 + (16 + 1) + (14 + 1) (10= 2 x 5) + (8 = 2 x 4) + ( 6 = 2x 3) in example and see everything is shown in rows of 1, 2, 3 that so happen to be the lowest 3 factors of 18. We know 3 is the lowest number in 3 x 6 being is the highest factor before 18 so the link would be that 3 x 2 = 2^3+1 = 16 and proves we cannot go higher than 16 row for 2.
Rows of one = (2) + (2+1) +(3+1) + (4+1) + (5+1) + (6+1) + (7+1) + (8+1) + (9+1) +(10+1) = (11+1) +(12+1) + (13+1) + (14+1) + (15+1) + (16+ 1) + (17+ 1) = 17
Rows of two (2 x 3 ) + (2 x 4) + (2 x 5) + ( 2 x 6 ) +( 2x 7) + (2x8 ) + (2 x9)
= 6, 8, 9, 10. 12, 14, 16, 18
= 7
Rows of three (3 x 4 ) (3 x 5) (3 x 6)
= 12 + 15 + 18
= 3
Rows of 4 is already been shown
Therefore;
17 + 7 + 3 = 27
= 7 x 3 our rows of 2's and 3's = 27 - 17 and decreases our pattern at scale 17: 7 : 3
27 / 18 = 1.5 so we have learnt rectangles for numbers 18 and under are scale factored at 1.5
18( 1 + 1/2) = 27
18 + 9 = 27
17 x 1.5 = 27 rectangles