Question

bethanys pin is shown in the image below. what is the area of bethanys pin? diagram with dimensions 5 cm, 8 cm, 4 cm, 2 cm the area of bethanys pin is blank square cm.

Explanation:

Step1: Split the shape

We can split the pin's shape into a rectangle and a triangle. The rectangle has length \( 5 \, \text{cm} \) and height \( 4 \, \text{cm} \). The triangle has a base of \( 5 - 2 = 3 \, \text{cm} \) and a height of \( 8 - 4 = 4 \, \text{cm} \).

Step2: Calculate rectangle area

The area of a rectangle is \( \text{length} \times \text{height} \). So, for the rectangle: \( 5 \times 4 = 20 \, \text{cm}^2 \).

Step3: Calculate triangle area

The area of a triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \). The base is \( 3 \, \text{cm} \) and height is \( 4 \, \text{cm} \), so: \( \frac{1}{2} \times 3 \times 4 = 6 \, \text{cm}^2 \).

Step4: Sum the areas

Add the area of the rectangle and the triangle: \( 20 + 6 = 26 \, \text{cm}^2 \).

Answer:

26