In a parallelogram efgh, ej=x^2-4 and jg=3x. what is eg?

EG = 24 ( solution is attached below)

Answer : The value of side EG is, 24 units.

Step-by-step explanation :

Property of parallelogram:

The diagonals bisect each other and the opposite sides are equal to each other.

In the given parallelogram EFGH,

Given:

Side EJ =

Side JG = 3x

According to the property of parallelogram,

Side EJ = Side JG

(x-4) = 0  and  (x+1) = 0

x = 4  and x = -1

Now we have to determine the value of side EG.

Side EG = Side EJ + Side JG

Side EG =

Now put the value of x = 4, we get:

Side EG =

Now put the value of x = -1, we get:

Side EG =

As we know that, the value of side can not be negative. So, the value of side EG will be, 24 units.

Hence, the value of side EG is, 24 units.

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