Answer:
1) The value of [tex]x[/tex] is 12.
2) The length of the diagonal is 49.
Step-by-step explanation:
1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:
[tex]5\cdot x - 11 = 2\cdot x + 25[/tex] (1)
We need some algebraic handling to determine the value of [tex]x[/tex]:
[tex]5\cdot x - 11 = 2\cdot x + 25[/tex]
[tex]5\cdot x - 2\cdot x = 25 +11[/tex]
[tex][5+(-2)] \cdot x = 36[/tex]
[tex]3\cdot x = 36[/tex]
[tex]x = 12[/tex]
The value of [tex]x[/tex] is 12.
2) If we know that [tex]x = 12[/tex], then the length of the diagonal ([tex]d[/tex]) is:
[tex]d = 2\cdot x + 25[/tex]
[tex]d = 49[/tex]
The length of the diagonal is 49.
