Following the rules for working with measurements, find the area of the lateral surface to be painted in the illustration. Assume there are no windows. A) 2,180 m ² B) 2,230 m ² C) 2,330 m ² D) 3,230 m ² E) 558 m ²

Question

Quizplus · Accepted Answer

To find the lateral surface area, we need to find the perimeter of the base and multiply it by the height of the object. From the illustration, we can see that the base is a rectangle with dimensions 9m and 8m. Thus, the perimeter is 2(9m) + 2(8m) = 34m. The height of the object is given as 65m. Therefore, the lateral surface area to be painted is 34m x 65m = 2,210 m. However, we need to subtract the area of the door and the area of the other rectangular shape on the side of the building. From the dimensions given, we can calculate these areas as 2m x 4m = 8m² and 4m x 8m = 32m² respectively. Thus, the final lateral surface area to be painted is 2,210m² - 8m² - 32m² = 2,170m², which is closest to option B (2,230m²).

Following the Rules for Working with Measurements, Find the Area