To find the total area of the piece of jewelry, we need to calculate the area of each individual shape and then add them all together.
First, we have a rectangle with dimensions 4cm by 6cm. The area of a rectangle is calculated by multiplying its length by its width. So, the area of this rectangle is 4cm x 6cm = 24cm².
Next, we have a triangle with a base of 3cm and a height of 4cm. The area of a triangle is calculated by multiplying its base by its height and dividing by 2. So, the area of this triangle is (3cm x 4cm) / 2 = 6cm².
Finally, we have a semicircle with a radius of 2cm. The area of a circle is calculated by the formula πr², where π is the mathematical constant pi and r is the radius. Since we have a semicircle, we need to half the result. So, the area of this semicircle is (π x 2cm x 2cm) / 2 = 6.28cm².
Adding up the areas of the rectangle, triangle, and semicircle, we get:
24cm² + 6cm² + 6.28cm² = 36.28cm².
Therefore, the total area of the piece of jewelry is 36.28 square centimeters.
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 answer
1 answer