A + 1 rectangle = 7 rectangles
A + B = 8 rectangles
B + C = A + 9 rectangles
- A = _____ rectangles
- B = _____ rectangles
- C = _____ rectangles
A + 1 rectangle = 7 rectangles --- (1)
A + B = 8 rectangles --- (2)
B + C = A + 9 rectangles --- (3)
(a)
From (1)
A + 1 rectangle = 7 rectangles
A = 7 rectangles - 1 rectangle
A = 6 rectangles
(b)
Substitute A = 6 rectangles into (2).
A + B = 8 rectangles
6 rectangles + B = 8 rectangles
B = 8 rectangles - 6 rectangles
B = 2 rectangles
(c)
Substitute A = 6 rectangles and B = 2 rectangles into (3).
B + C = A + 9 rectangles
2 rectangles + C = 6 rectangles + 9 rectangles
2 rectangles + C = 15 rectangles
C = 15 rectangles - 2 rectangles
C = 13 rectangles
Answer(s): (a) 6; (b) 2; (c) 13