A + 1 rectangle = 6 rectangles
A + B = 6 rectangles
B + C = A + 3 rectangles
- A = _____ rectangles
- B = _____ rectangles
- C = _____ rectangles
A + 1 rectangle = 6 rectangles --- (1)
A + B = 6 rectangles --- (2)
B + C = A + 3 rectangles --- (3)
(a)
From (1)
A + 1 rectangle = 6 rectangles
A = 6 rectangles - 1 rectangle
A = 5 rectangles
(b)
Substitute A = 5 rectangles into (2).
A + B = 6 rectangles
5 rectangles + B = 6 rectangles
B = 6 rectangles - 5 rectangles
B = 1 rectangles
(c)
Substitute A = 5 rectangles and B = 1 rectangles into (3).
B + C = A + 3 rectangles
1 rectangles + C = 5 rectangles + 3 rectangles
1 rectangles + C = 8 rectangles
C = 8 rectangles - 1 rectangles
C = 7 rectangles
Answer(s): (a) 5; (b) 1; (c) 7