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Sagot :
Answer:
The shorter side of pentagon is 6cm long
Step-by-step explanation:
Given two equations are:
[tex]y = x + 2\\2x + 3y = 36[/tex]
We can use any one of the methods to solve the simultaneous linear equations
As it is also given that x is the length of shorter side, we have to find the value of x
Using the substitution method
We will put the value of y i.e. x+2 in the 2nd equation
So,
[tex]2x+3(x+2) = 36[/tex]
Simplification gives us:
[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]
Hence,
The shorter side of pentagon is 6cm long
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