Question

Find the area of a rectangle with length (2x + 3) and width (x - 4).

A) 2x2 - 11x - 12
B) 2x2 - 5x + 12
C) 2x2 + 11x + 12
D) 2x2 - 5x - 12

Answer 1

Answer: 2x^2 - 5x - 12

Step-by-step explanation: The correct answer is 2x^2 - 5x - 12. To find the area of a rectangle you multiply the length by the width. So you multiply (2x + 3)(x - 4) using the FOIL method.

Answer 2

Area = 2x^2 -5x-12

Explanation:

Area = length * width

Area = (2x+3) * (x-4)

We will use the FOIL technique to multiply the terms.

First: 2x*x = 2x^2

Outer: 2x* -4 = -8x

Inner: 3*x = 3x

Last = 3* -4 = -12

Add the 4 terms together: 2x^2 -8x+3x -12 = 2x^2 -5x-12

Area = 2x^2 -5x-12