Use the image to answer the question. 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) Responses 33 square centimeters 33 square centimeters 27 square centimeters 27 square centimeters 30 square centimeters 30 square centimeters 39 square centimeters%C2%A0 39 square centimeters

Answer 1

To find the total area of the piece of jewelry, we need to calculate the areas of each individual shape and then add them together.

1. The rectangle on the left has a length of 6cm and a width of 3cm. The area of a rectangle is length x width, so the area of this rectangle is 6cm x 3cm = 18 square cm.

2. The square in the middle has a side length of 3cm. The area of a square is side length squared, so the area of this square is 3cm x 3cm = 9 square cm.

3. The triangle on the right has a base of 4cm and a height of 6cm. The area of a triangle is 0.5 x base x height, so the area of this triangle is 0.5 x 4cm x 6cm = 12 square cm.

Now, add the areas of the rectangle, square, and triangle together:
18 square cm + 9 square cm + 12 square cm = 39 square cm

Therefore, the total area of the piece of jewelry is 39 square centimeters.