A square and a rhombus have the same perimeter. What about their areas? Are they the same? If not then which is bigger?

Nope.

Step-by-step explanation:

area square: s^2 if one side is 2 cm: are ais 4 cm

rhombus square: (big diagonalxsmall diagonal) / 2

what counts on the rombus is not the side, but the diagonals. The diagonals are usually longer than the side of the square, so the area of the rombus is bigger.