Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
1cm
2cm
8cm
1cm
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.