Answer:
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex].
If x = 30 units, the area will be of 3591 units squared.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram of base b and height h is given by:
[tex]A = bh[/tex]
In this question:
We have that [tex]b = 2x + 3, h = 2x - 3[/tex].
So
[tex]A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9[/tex]
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex]
If x = 30 units:
[tex]A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591[/tex]
If x = 30 units, the area will be of 3591 units squared.
