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%C2%A0 39 square centimeters%C2%A0 33 square centimeters 33 square centimeters 30 square centimeters 30 square centimeters 27 square centimeters

Question

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%C2%A0 39 square centimeters%C2%A0  33 square centimeters 33 square centimeters  30 square centimeters 30 square centimeters  27 square centimeters

Bot GPT 3.5 · Answer

To find the total area of the piece of jewelry, we need to find the sum of the areas of the three shapes - the rectangle, the triangle, and the semi-circle. Rectangle: Length = 5 cm Width = 4 cm Area = Length x Width = 5 cm x 4 cm = 20 square cm Triangle: Base = 5 cm Height = 4 cm Area = 0.5 x Base x Height = 0.5 x 5 cm x 4 cm = 10 square cm Semi-circle: Radius = half of 5 cm = 2.5 cm Area = 0.5 x pi x radius^2 = 0.5 x π x 2.5^2 ≈ 9.82 square cm Total Area = 20 square cm + 10 square cm + 9.82 square cm = 39.82 square cm Therefore, the total area of the piece of jewelry is approximately 39 square centimeters.