The value of x is 11, and the value of FH is 38
A rectangle is a quadrilateral that has 4 straight lines, of which the opposite sides are parallel.
The given parameters are:
[tex]EI = 3x + 5[/tex]
[tex]FH = 5x - 17[/tex]
To calculate the value of x, we make use of:
[tex]FH =EI[/tex] ---- the opposite sides of the rectangle
So, we have:
[tex]5x - 17 = 3x + 5[/tex]
Collect like terms
[tex]5x -3x = 5+17[/tex]
[tex]2x = 22[/tex]
Divide both sides by 2
[tex]x = 11[/tex]
Substitute 11 for x in [tex]FH = 5x - 17[/tex]
So, we have:
[tex]FH = 5 \times 11 - 17[/tex]
[tex]FH = 38[/tex]
Hence, the value of x is 11, and the value of FH is 38
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