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)
33 square centimeters
27 square centimeters
30 square centimeters
39 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 together.
Rectangle:
Length = 9 cm, Width = 3 cm
Area = Length x Width = 9 cm x 3 cm = 27 square centimeters
Triangle:
Base = 6 cm, Height = 4 cm
Area = (1/2) x Base x Height = (1/2) x 6 cm x 4 cm = 12 square centimeters
Trapezoid:
Base1 = 6 cm, Base2 = 12 cm, Height = 3 cm
Area = (1/2) x (Base1 + Base2) x Height = (1/2) x (6 cm + 12 cm) x 3 cm = 27 square centimeters
Total area = 27 square centimeters + 12 square centimeters + 27 square centimeters = 66 square centimeters
Therefore, the correct answer is not provided in the given options.