Question

PLEASE HELP...

Answer 1

The area of the given rectangle is of the standard form option 1.$2x^{2} + 3x - 20$.

Step-by-step explanation:

Step 1:

The parameters needed to determine the area of a rectangle are the base length and the width.

The base length of this rectangle is $2x-5$ units while its width is $x+4$ units.

The area of a rectangle is determined by multiplying the base length with the width.

Step 2:

The area of the rectangle $= (length)(width).$

Here length is $2x-5$ units and the width is $x+4$ units.

The area of the rectangle$= (2x-5)(x+4) = 2x^{2} + 8x -5x-20 = 2x^{2} + 3x - 20.$

So the area of the given rectangle is of the standard form $2x^{2} + 3x - 20$ which is the first option.