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

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Step-by-step explanation:

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Please give brainliest

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