Use the image to answer the question.
Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
(1 point)
Responses
39 square centimeters
39 square centimeters
33 square centimeters
33 square centimeters
27 square centimeters
27 square centimeters
30 square centimeters
To find the total area of the piece of jewelry, we need to calculate the area of each individual shape and then add them up.
Rectangle:
Width = 6 cm, Length = 5 cm
Area = Width x Length = 6 cm x 5 cm = 30 square centimeters
Triangle:
Base = 3 cm, Height = 4 cm
Area = 0.5 x Base x Height = 0.5 x 3 cm x 4 cm = 6 square centimeters
Circle:
Radius = 3.5 cm
Area = π x (Radius)^2 = π x (3.5 cm)^2 ≈ 38.48 square centimeters
Now, we add up the areas of each shape:
30 square centimeters (Rectangle) + 6 square centimeters (Triangle) + 38.48 square centimeters (Circle) = 74.48 square centimeters
Therefore, the total area of the piece of jewelry is approximately 74.48 square centimeters.