The polynomial expression represents the area of the trapezoid is:
[tex]Area = 3x^2 + 8x + 4[/tex]
Solution:
Given that,
The bases of an isosceles trapezoid are represented by 3x and (3x + 4)
The height of the trapezoid is represented by (x + 2)
To find: area of the trapezoid
The area of the trapezoid is given as:
[tex]Area = \frac{1}{2} (b_1 + b_2 ) \times h[/tex]
Where b₁ and b₂ are the bases and h is the height
Therefore,
[tex]Area = \frac{1}{2} (3x + 3x + 4) \times (x + 2)\\\\Area = \frac{1}{2} (6x + 4) \times (x + 2)\\\\Area = (3x + 2)(x + 2)\\\\Simplify\\\\Area = 3x^2 + 6x + 2x + 4\\\\Area = 3x^2 + 8x + 4[/tex]
Thus the polynomial expression represents the area of the trapezoid is found
