Question

100 POINTS 100 POINTS 100 POINTS 100 POINTS IF YOU ANSWER THIS PROBLEM

Which expression represents the area of the figure?

Answer 1

Answer: the answer is a: 5/2x squared + 3/2x -4

Answer 2

Option A

The Area of the given figure is 5x²/2 + 3x/2 - 4

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