Question 174673
The perimeter of a rectangle is 28 cm. The perimeter of each of the triangles is 24 cm. The diagonal of the rectangle is 2 cm longer than the longer side of the rectangle.
Let shorter side be a; let longer side be b: let diagonal be c
Equations:
2a + 2b = 28
a + b + c = 24
c = b + 2
write a system of three questions in three unknowns
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Rearrange the equations:
2a   +  2b  +  0  = 28
 a   +   b  +   c = 24
0    +   b  -   c = -2
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simplify to a system of two equations in two unknowns?
let b = c+2
Then you get:
2a + 2(c+2) + 0 = 28
a  + c+2    + c = 24
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Rearrange:
2a + 2c  = 24
 a + 2c  = -2
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write an augmented matrix for the system? 
 
2...2..|..24
1...2..|..-2
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Cheers,
Stan H.