Answer:
P = 40 cm
A = 51 cm^2
Step-by-step explanation:
Perimeter: Add the lengths of all sides. The sides whose length are not shown can be calculated by subtraction.
perimeter = 3 cm + 12 cm + 8 cm + 3 cm + (8 cm - 3 cm) + (12 cm - 3 cm) =
= 3 cm + 12 cm + 8 cm + 3 cm + 5 cm + 9 cm
= 40 cm
Area:
You can find the area by calculating the sides of smaller rectangles and adding the areas. You can also calculate the area by thinking of a large rectangle from which a smaller rectangle inside was removed. I'll use the second method.
area of larger rectangle = 12 cm * 8 cm = 96 cm^2
area of removed rectangle = (8 cm - 3 cm) * (12 cm - 3 cm) = 5 cm * 9 cm = 45 cm^2
shaded area = 96 cm^2 - 45 cm^2 = 51 cm^2
