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 27 square centimeters 27 square centimeters 30 square centimeters 30 square centimeters 39 square centimeters 39 square centimeters 33 square centimeters
To find the total area of the piece of jewelry, you need to calculate the area of each individual shape and then add them together.
For the rectangle: Area = length x width = 3 cm x 6 cm = 18 square cm
For the semicircle: Area = 1/2 x pi x radius^2 = 1/2 x 3.5 x 3.5 = 6.125 square cm
For the triangle: Area = 1/2 x base x height = 3 cm x 2 cm / 2 = 3 square cm
Total area = 18 + 6.125 + 3 = 27.125 square centimeters
Therefore, the closest answer is 27 square centimeters.