Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry? The measurements shown are 2 cm, 2 cm, 3 cm, and 9 cm. The choices are:
27 square centimeters
30 square centimeters
39 square centimeters
33 square centimeters
To find the total area of the piece of jewelry, we need to find the area of each square and rectangle and then add them together.
The two smaller squares have a side length of 2 cm, so their total area is 2 cm x 2 cm = 4 square cm each.
The rectangle has dimensions 3 cm by 9 cm, so its total area is 3 cm x 9 cm = 27 square cm.
Adding all the areas together: 4 square cm + 4 square cm + 27 square cm = 35 square cm.
The total area of the piece of jewelry is 35 square centimeters.
Therefore, the closest choice is 30 square centimeters.