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

1cm
2cm
8cm
1cm

Answer 1

To find the total area, we first need to calculate the area of each individual shape within the piece of jewelry.

Let's start with the rectangle on the left side:
Area of rectangle = length x width
Area = 2cm x 8cm = 16cm^2

Next, let's find the area of the square in the middle:
Area of square = side x side
Area = 2cm x 2cm = 4cm^2

Now, let's find the area of the rectangle on the right side:
Area of rectangle = length x width
Area = 1cm x 8cm = 8cm^2

Lastly, let's find the area of the small square at the top:
Area of square = side x side
Area = 1cm x 1cm = 1cm^2

Now, to find the total area of the piece of jewelry, we add up the areas of all these individual shapes:
Total area = 16cm^2 + 4cm^2 + 8cm^2 + 1cm^2
Total area = 29cm^2

Therefore, the total area of the piece of jewelry is 29cm^2.