Answer:
The area of trapezium is (x+11) cm².
Step-by-step explanation:
Given that the formula of area of trapezium is :
[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]
In the formula, a and b represents the length of trapezium and h is the height. So you have to substitute the following expressions into the formula :
[tex]let \: a = 5 \\ let \: b = x + 6 \\ let \: h = 2[/tex]
[tex]area = \frac{1}{2} \times (5 + x + 6) \times 2[/tex]
[tex]area = \frac{1}{2} \times 2 \times (x + 11)[/tex]
[tex]area = 1 \times (x + 11)[/tex]
[tex]area = (x + 11) \: {cm}^{2} [/tex]
