Final answer:
To calculate the lateral area of a right prism with a heptagon base, multiply the perimeter of the base shape by the height of the prism.
Step-by-step explanation:
To calculate the lateral area of a right prism, you need to find the perimeter of the base shape and multiply it by the height of the prism. In this case, the base shape is a heptagon with side length 4 feet.
A heptagon has 7 sides, so the perimeter is 7 * 4 = 28 feet.
The height of the prism is given as 10 feet. To find the lateral area, multiply the perimeter by the height: 28 feet * 10 feet = 280 square feet.