Question

Which expression represents the area of the figure?

2x2 + 2x
6x² + 8
6x2 + 14x + 8
8x2 + 16x + 8

Answer 1

The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.

Area of Triangle=

1

2

(2x + 2)(2x)

Area of Triangle = 2x2 + 2x

Area of Rectangle: (2x + 2)(3x + 4)

Area of Rectangle: 6x2 + 14x + 8

Sum of Two Regions: 8x2 + 16x + 8

Explanation: