Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?

Question

33
27
30
39

Answer 1

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.

First, let's calculate the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 12 x 3 = 36 cm²

Next, let's calculate the area of the triangle:
Area of triangle = 0.5 x base x height
Area of triangle = 9 x 3 x 0.5 = 13.5 cm²

Now, let's add the area of both shapes together:
Total area = 36 + 13.5 = 49.5 cm²

Therefore, the total area of the piece of jewelry is 49.5 cm².