Answer:
Option A
The Area of the given figure is 5x²/2 + 3x/2 - 4
Step-by-step explanation:
For a given Trapezoid
side a = x + 7
side b = 4x + 1
height (h) = x - 1
Now, Area of Trapezoid
Formula:
A = ½ (a + b) × h
A = ½ (x + 7 + 4x + 1) × (x - 1)
A = ½ (5x + 8) × (x - 1)
A = ½ (5x² - 5x + 8x - 8)
A = ½ (5x² + 3x - 8)
A = 5x²/2 + 3x/2 - 8/2
A = 5x²/2 + 3x/2 - 4
Thus, The Area of the given figure is
5x²/2 + 3x/2 - 4
-TheUnknownScientist
