For which value of x is the figure a rectangle?
A. x = -1
B. x = 11
C. x = 11.5
D. x = 22.25

Answer:
The value of x is 11.
Option (B) is correct.
Step-by-step explanation:
By using the property of the rectangle .
In rectangle all four angles are 90° .
As the figure given in the question .
Thus
(5x + 2) + 3x = 90
Open the bracket
5x + 2 + 3x = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
[tex]x = \frac{88}{8}[/tex]
x = 11
Therefore the value of x is 11.
Option (B) is correct.