The problem asks us to find the area of the composite shape, which is a rectangle and a triangle. We are given the following information: rectangle has a base of 6 miles and a height of 7 miles, and the triangle has a base of 8 miles and a height of 7 miles.

1. Problem Description

The problem asks us to find the area of the composite shape, which is a rectangle and a triangle. We are given the following information: rectangle has a base of 6 miles and a height of 7 miles, and the triangle has a base of 8 miles and a height of 7 miles.

2. Solution Steps

First, we calculate the area of the rectangle. The formula for the area of a rectangle is:

$Area_{rectangle} = base \times height$

$Area_{rectangle} = 6 \times 7 = 42$ square miles.

Next, we calculate the area of the triangle. The formula for the area of a triangle is:

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

$Area_{triangle} = \frac{1}{2} \times 8 \times 7 = 4 \times 7 = 28$ square miles.

Finally, we add the area of the rectangle and the area of the triangle to find the total area.

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

$Area_{total} = 42 + 28 = 70$ square miles.

3. Final Answer

The total area of the composite shape is 70 square miles.