Question

Area of rhombus smaller than are of square

Answer 1

Think about what happens when you "tilt" a square into a rhombus, keeping the horizontal lines of the square horizontal, but rotating the vertical lines a little bit clockwise. Compare the new area to the original area. Doing this has added a triangular area to the right of the square, removed an identical triangular area from the left, but also removed a rectangular area from the top of the square because the height has decreased. The triangular areas cancel out, but the rectangular area removed due to the decrease in height means that the rhombus has a smaller area.

Answer 2

area of rhombus is 1/2×side×side
area of square is side ×side
after seeing area of rhombus is half of square that's y rhombus smaller than circle