Tammy is estimating how much she should charge for painting 98 rooms in a new motel with one coat of base paint and coat of finishing paint. The four walls and the ceiling of each room must be painted. Each room measures 14 ft by 18ft by 11ft high. Calculate the total area of all surfaces to be painted with each coat.

93,688 square feet need to be painted.
ceiling = 14*18= 252
width wall = (18*11)*2= (198)*2
length wall = (14*11)*2= (154)*2
308+396+252=956 square ft. for one room
956*98=93,688 square feet.

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ap8997154 ap8997154 · Answer 2 · 2022-07-16T08:13:47+02:00

The area of a 2D form is the amount of space within its perimeter. The total area of all surfaces that is to be painted with each coat is 93,688 ft².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the length and width of one room are 14 ft by 18 ft, while the height of the room is 11 ft. Therefore, the total surface to paint for a single room is,

Total surface = 4 walls + 1 celling

= [2(18×11) + 2(14×11)] + (18×14)

= (396ft² + 308ft²) + 252ft²

= 956 ft²

Since there are 98 rooms, therefore, the surface area of 98 rooms will be,

Area of 98 rooms = 98 × 956 ft²

= 93,688 ft²

Therefore, the total area of all surfaces that is to be painted with each coat is 93,688 ft².

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