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)
39 square centimeters
27 square centimeters
33 square centimeters
30 square

1 answer

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 5 cm, a square with sides of 4 cm, and a triangle with base 4 cm and height 3 cm.

Area of rectangle = length x width = 6 cm x 5 cm = 30 square cm

Area of square = side x side = 4 cm x 4 cm = 16 square cm

Area of triangle = 0.5 x base x height = 0.5 x 4 cm x 3 cm = 6 square cm

Total area = 30 cm + 16 cm + 6 cm = 52 square cm

Therefore, the total area of the piece of jewelry is 52 square centimeters.