The problem asks us to find the area of the composite shape. The shape consists of a rectangle and a triangle. The rectangle has sides of length 4 ft and 4 ft. The triangle has a base of 4 ft. The height of the triangle is given as 6 ft.

1. Problem Description

The problem asks us to find the area of the composite shape. The shape consists of a rectangle and a triangle. The rectangle has sides of length 4 ft and 4 ft. The triangle has a base of 4 ft. The height of the triangle is given as 6 ft.

2. Solution Steps

First, we calculate the area of the rectangle.

The formula for the area of a rectangle is:

$Area_{rectangle} = base \times height$

$Area_{rectangle} = 4 \text{ ft} \times 4 \text{ ft} = 16 \text{ ft}^2$

Next, we calculate the area of the triangle.

The formula for the area of a triangle is:

$Area_{triangle} = \frac{1}{2} \times base \times height$

$Area_{triangle} = \frac{1}{2} \times 4 \text{ ft} \times 6 \text{ ft} = 12 \text{ ft}^2$

Then, we add the area of the rectangle and the area of the triangle to get the total area.

$Area_{total} = Area_{rectangle} + Area_{triangle}$

$Area_{total} = 16 \text{ ft}^2 + 12 \text{ ft}^2 = 28 \text{ ft}^2$

3. Final Answer

The total area of the composite shape is 28 $ft^2$.