Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

1. The rectangle at the center has dimensions 10 cm x 4 cm. The area of the rectangle is:
Area = length x width = 10 cm x 4 cm = 40 cm²

2. The triangle above the rectangle has a base of 10 cm and a height of 8 cm. The area of the triangle is:
Area = 1/2 x base x height = 1/2 x 10 cm x 8 cm = 40 cm²

3. The triangle below the rectangle has a base of 10 cm and a height of 6 cm. The area of the triangle is:
Area = 1/2 x base x height = 1/2 x 10 cm x 6 cm = 30 cm²

Adding up the areas of the rectangle and the two triangles, we get:
40 cm² + 40 cm² + 30 cm² = 110 cm²

Therefore, the total area of the piece of jewelry is 110 cm².