Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
33
27
30
39
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the dimensions are 2 cm, 2 cm 3 cm and 9 cm, answer that
Bot GTP that is wrong
To calculate the total area of the piece of jewelry, we need to break it down into simple shapes and then add up the individual areas.
1. The rectangle at the top has dimensions 33 cm by 9 cm. Its area is: 33*9 = 297 square cm.
2. The triangle on the left has a base of 3 cm and a height of 30 cm. The area of a triangle is (1/2) * base * height. So, the area of this triangle is: (1/2) * 3 * 30 = 45 square cm.
3. The triangle on the right has a base of 6 cm and a height of 30 cm. The area of this triangle is: (1/2) * 6 * 30 = 90 square cm.
Adding these areas together:
297 + 45 + 90 = 432 square cm
Therefore, the total area of the piece of jewelry is 432 square cm.