To setup an equation for the area of the figure:
⇒ must know the formula for the area of a trapezoid
[tex]\frac{1}{2}*(base1+base2)*height[/tex]
- base 1 --> 5x - 4
- base 2 --> 3x + 2
- height --> x + 1
Now's lets set up the equation:
[tex]Area =\frac{1}{2}(5x-4+3x+2)(x+1) =\frac{1}{2}(8x-2)(x+1)=\frac{1}{2}*(8x^2+8x-2x-2)\\Area = \frac{1}{2} *(8x^2+6x-2)\\Area = 4x^2+3x-1[/tex]
Thus the equation is [tex]4x^2+3x-1[/tex]
Answer: [tex]4x^2+3x-1[/tex]
Hope that helps!
