A composite shape: A tiny triangle on top and a rectangle on the bottom. Measurements: 3cm. 2cm. 5cm. 5cm. 4cm. The answer is 23 square centimeters. Why is that?
The area of a triangle is calculated by the formula A = 1/2 * base * height, and the area of a rectangle is calculated by the formula A = length * width.
For the triangle, the base is 2cm and the height is 3cm.
A_triangle = 1/2 * 2cm * 3cm = 3 square centimeters.
For the rectangle, the length is 5cm and the width is 4cm.
A_rectangle = 5cm * 4cm = 20 square centimeters.
Adding the areas of the triangle and rectangle together gives us the total area of the composite shape:
A_total = A_triangle + A_rectangle
A_total = 3 square centimeters + 20 square centimeters
A_total = 23 square centimeters.
Therefore, the total area of the composite shape is 23 square centimeters.