Answer:
Option C is correct.
an equation expressing the rectangle's area , [tex]A = w^2+6w[/tex]
Step-by-step explanation
Area of rectangle(A) is given by:
[tex]A = lw[/tex]
where,
l is the length of the rectangle and w is the width of the rectangle.
As per the statement:.
A rectangle's length is 6 units greater than its width
⇒[tex]l = 6+w[/tex]
Substitute in the above formula;a we have;
[tex]A = (6+w) \cdot w[/tex]
Using distributive property we have;
[tex]A = 6w+ w^2[/tex]
or
[tex]A = w^2+6w[/tex]
Therefore, an equation expressing the rectangle's area is, [tex]A = w^2+6w[/tex]
