The problem asks us to find the lateral area of a prism whose bases are regular pentagons. The side length of the pentagon is 4 ft and the height of the prism is 7 ft.

1. Problem Description

The problem asks us to find the lateral area of a prism whose bases are regular pentagons. The side length of the pentagon is 4 ft and the height of the prism is 7 ft.

2. Solution Steps

The lateral area of a prism is the sum of the areas of its lateral faces. In this case, the prism has five lateral faces, each of which is a rectangle.

The dimensions of each rectangle are 4 ft (width) and 7 ft (height).

Therefore, the area of each rectangle is $4 \times 7 = 28$ square feet.

Since there are 5 such rectangles, the total lateral area is $5 \times 28$.

$5 \times 28 = 140$

The lateral area of the prism is 140 square feet.

3. Final Answer

140