Answer:
3w² + 10w +8 (C)
Step-by-step explanation:
A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?
First, remember that the length of the first rectangle is 3 * w, or 3w.
Now, onto the second rectangle.
The width is increased by 2, so it becomes w + 2
The length is increased by 4, so it becomes 3w +4.
Area is length times width, so the area is
(w + 2)(3w + 4)
Simplify.
3w*w + 4*w + 2*3w + 2*4 =
3w² + 4w + 6w +8
3w² + 10w + 8, or C
