Question

If the width of a rectangle can be represented by x + 4 and the length 2x - 7, write an expression that can

be used to represent the area of the rectangle. Simplify the expression as much as possible

Answer 1

`A = 2x^2 + x - 28`

Explanation:

The formula for the area of a rectangle is A = lw, where w=width and l=length.

Substitute the known values into this equation, and then it can be simplified.

`A=(2x-7)(x+4)`

Now we can expand the polynomial using FOIL (multiply the first, outer, inner, then last terms).

`A = 2x^2 + 8x -7x -28`

Add like terms and put in standard form.

`A = 2x^2 + x - 28`

Answer 2

Hope the image helps :)