The area of the rectangle is [tex]20x^{2} -10x-30[/tex] units.
Step-by-step explanation:
Step 1:
The area of a rectangle is obtained by multiplying the length with the width of the rectangle.
Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of [tex]4x^{2}[/tex], [tex]-2x[/tex], and -6.
So the length of the rectangle = 5 units and
the width of the rectangle [tex]= 4x^{2} -2x-6[/tex] units.
The area of a rectangle = (length)(width).
Step 2:
By substituting the known values, we get
The area of the rectangle [tex]= (5) (4x^{2} -2x-6) = 20x^{2} -10x-30.[/tex]
So the area of the rectangle is [tex]20x^{2} -10x-30[/tex] units.
