Perimeter:
We have two straight, congruent sides from the square that are 24 cm, and two semi-circles (or one whole circle).
24 + 24 + 1/2(24pi) + 1/2(24pi)
48 + 12pi + 12pi
48 + 24pi cm
Area:
We have a semi-circle and a square that is missing a semi-circle. Let's find the area of the square minus the semi-circle, then add the additional semi-circle.
Square = 576
Missing semi-circle = 144pi / 2 = 72pi
Semi-circle = 144pi / 2 = 72pi
576 - 72pi + 72pi
576 cm^2
Hope this helps!