Answer:
area: 576 cm ^2
perimeter: (48 + 24π) cm
Explanation:
the semicircle taken out of the square (the white area) is equal to the semicircle added to the left of it. thus, we just have the area of a square. we know this because both have the same diameter and are semicircles. thus, our area is 24^2 = 576 cm ^2
for perimeter:
top: 24 cm
bottom: 24 cm
right: this is equal to half the circumference of a circle. this is because we know it's a semicircle taken out. circumference = πd = 24 * π. divide this by 2 to get 12π.
left: this is also equal to half the circumference of a circle = 12π
sum = 48cm + 24π