A + 3 rectangle = 9 rectangles
A + B = 7 rectangles
B + C = A + 8 rectangles
- A = _____ rectangles
- B = _____ rectangles
- C = _____ rectangles
A + 3 rectangle = 9 rectangles --- (1)
A + B = 7 rectangles --- (2)
B + C = A + 8 rectangles --- (3)
(a)
From (1)
A + 3 rectangle = 9 rectangles
A = 9 rectangles - 3 rectangle
A = 6 rectangles
(b)
Substitute A = 6 rectangles into (2).
A + B = 7 rectangles
6 rectangles + B = 7 rectangles
B = 7 rectangles - 6 rectangles
B = 1 rectangles
(c)
Substitute A = 6 rectangles and B = 1 rectangles into (3).
B + C = A + 8 rectangles
1 rectangles + C = 6 rectangles + 8 rectangles
1 rectangles + C = 14 rectangles
C = 14 rectangles - 1 rectangles
C = 13 rectangles
Answer(s): (a) 6; (b) 1; (c) 13