Question

The length and width of a rectangle are shown below.

Which expression represents the area, in square units, of the rectangle?

Answer 1

-2x² + 90x + 500

Explanation:

Use FOIL method

Area of rectangle = length * width

= (50 - x)(2x + 10)

= 50*(2x) + 50*10 + (-x)*2x + (-x)*10

= 100x + 500 - 2x² - 10x

= -2x² + 100x - 10x + 500 {Combine like terms}

= -2x² + 90x + 500