The area of the given rectangle is of the standard form option 1.[tex]2x^{2} + 3x - 20[/tex].
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 [tex]2x-5[/tex] units while its width is [tex]x+4[/tex] units.
The area of a rectangle is determined by multiplying the base length with the width.
Step 2:
The area of the rectangle [tex]= (length)(width).[/tex]
Here length is [tex]2x-5[/tex] units and the width is [tex]x+4[/tex] units.
The area of the rectangle[tex]= (2x-5)(x+4) = 2x^{2} + 8x -5x-20 = 2x^{2} + 3x - 20.[/tex]
So the area of the given rectangle is of the standard form [tex]2x^{2} + 3x - 20[/tex] which is the first option.
