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, we need to calculate the area of each individual shape and then sum them up.
- Area of the triangle: 1/2 * base * height = 1/2 * 6 cm * 3 cm = 9 square cm
- Area of the rectangle: length * width = 8 cm * 3 cm = 24 square cm
- Area of the trapezoid: 1/2 * (base1 + base2) * height = 1/2 * (3 cm + 5 cm) * 4 cm = 16 square cm
Total area = 9 square cm + 24 square cm + 16 square cm = 49 square cm
Therefore, the total area of the piece of jewelry is 49 square centimeters.