Question

A farmer has a rectangular pen for her goats. The length of the pen can be represented by the expression 2x - 1. The width of the pen can be represented by the expression x + 4. Which of the following expressions represents the area of the farmer's rectangular pen?

Answer 1

area = 2x² + 7x - 4

the area (A ) of a rectangle = length × width

A = (2x - 1 )(x + 4 ) ← expand using FOIL

= 2x² + 8x - x - 4 = 2x² + 7x - 4