Final answer:
The area of the house is 325 square feet and there is no porch.
Step-by-step explanation:
To find the area of the house, we need to calculate the area of the octagon. Since an octagon can be divided into 2 rectangles and a square, we can find the area of each shape and then add them together. The area of a rectangle is found by multiplying the length and width, so the area of one rectangle is 10 feet * 15 feet = 150 square feet. The area of the square is found by multiplying the side lengths, so the area of the square is 5 feet * 5 feet = 25 square feet. Adding up the areas of the rectangles and square, we get 150 square feet + 150 square feet + 25 square feet = 325 square feet.
To find the area of the porch, we subtract the area of the house from the total area of the porch and house. The total area of the porch and house is found by multiplying the side lengths, so it is 15 feet * 15 feet = 225 square feet. Subtracting the area of the house (325 square feet) from the total area gives us the area of the porch: 225 square feet - 325 square feet = -100 square feet. However, it doesn't make sense to have a negative area, so we can conclude that there is no porch in this scenario.