Question

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

A picture of a rectangle is shown with one side labeled as 2 x minus 4 and another side labeled as x plus 5

Answer 1

Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
$2x^{2}+10x-4x-20=area$
Simplify:
$x^{2}+6x-20=area$