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7. Kataya wants to paint the outside of her house. The perimeter of the house is 160 feet and the height is nine feet. To know how much paint to buy she needs to calculate the surface area. What is the actual surface area of the house?

Ask by Lane Wyatt. in the United States
Mar 11,2025

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Answer

The surface area of the house is 1,440 square feet.

Solution

1. The problem asks for the surface area of the sides of the house that Kataya wants to paint. Since it's a one-story house, the area to be painted is the area of the walls. 2. We are given: - The perimeter of the house: \( P = 160 \) feet - The height of the house: \( h = 9 \) feet 3. The surface area \( A \) of the walls is found by multiplying the perimeter by the height: \[ A = P \times h \] 4. Substitute the given values into the formula: \[ A = 160 \times 9 \] 5. Calculate the multiplication: \[ A = 1440 \text{ square feet} \] Thus, the actual surface area of the house is \(1440\) square feet.

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To find the surface area of the outside of Kataya's house, we need to calculate the area of the walls. Since the house is a rectangular shape, the area of the walls can be calculated using the formula: Surface Area = Perimeter × Height. With a perimeter of 160 feet and a height of 9 feet, we have: 160 ft × 9 ft = 1440 square feet. So, the actual surface area of the house is 1440 square feet. Assuming Kataya is planning to paint her walls in one color, she should also consider the details of the area that won't need paint, like windows and doors. By measuring these additional features and subtracting their area from the total surface area, she can determine how much paint to purchase, avoiding overspending. Plus, it's always a good idea to purchase a little extra in case of second coats or unexpected touch-ups!

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