Respuesta :

The value of x is 11, and the value of FH is 38

What is a rectangle?

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

Read more about rectangles at:

https://brainly.com/question/17297081