A kite has side lengths of 2 feet and 4 feet. Each side length is increased by the same number of feet. The expression represents the perimeter of the larger kite:

4x + 12 feet.

Step-by-step explanation:

If the side lengths of a kite are A and B, then the perimeter of the kite is given by P = 2 (A + B)

Now, the side lengths of a given kite are 2 feet and 4 feet.

If side lengths are increased by the same number (say, x feet), then the side lengths of the kite will become (2 + x) feet and (4 + x) feet.

Therefore, the perimeter of the larger kite will be = 2[ (2 + x) + (4 + x) ] = 2 (2x + 6) = 4x + 12 feet. (Answer)