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 30 square centimeters 30 square centimeters 33 square centimeters 33 square centimeters 27 square centimeters 27 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.
The piece of jewelry consists of a rectangle with dimensions 6 cm by 9 cm, a square with sides of length 3 cm, and a triangle with base 6 cm and height 3 cm.
Area of rectangle = length x width = 6 cm x 9 cm = 54 square cm
Area of square = side x side = 3 cm x 3 cm = 9 square cm
Area of triangle = 1/2 x base x height = 1/2 x 6 cm x 3 cm = 9 square cm
Total area = 54 square cm + 9 square cm + 9 square cm = 72 square cm
Therefore, the total area of the piece of jewelry is 72 square centimeters.