John's room is shaped like a box. It has a flat ceiling that is a rectangle that is 14 feet long and 9 feet wide and the walls are 7 feet high. It has one door that is 6 feet high and 3 feet wide. It has two windows that are each 5 feet high and 42 inches wide. John wants to paint the walls and ceiling, but not the door or windows. He can paint 100 square feet with a quart of paint and paint costs $3.50 per quart. He has to buy whole quarts and may have some paint left over.

Respuesta :

14 x 7 = 98 x 2 = 196

9 x 7 = 63 x 2 = 126

196 + 126 = 322 square feet

door = 6 x 3 = 18 q ft

 window = 5 x 3.5 = 17.5 x 2 = 35 sq ft

322-18-35 = 269 sq ft

269/100 = 2.69 quarts so he needs 3 quarts

3.50 x 3 = $10.50

Given the dimensions of the John's room, the cost of painting the room would be $14.

What is the cost of painting the room?

The first step is to determine the total area of the room.

Area of the ceiling = 14 x 9 = 126 ft²

Area of the four walls = (2 x 14 x 7) + (2 x 9 x 7) = 322 ft²

Total area of the room = 126 + 322 = 448 ft²

The second step is to subtract the areas of the door and windows from the area of the room.

Area of the door = 6 x 3 = 18 ft²

Area of the two windows = 2 x (5 x 42/12) = 35 ft²

Area of the room excluding the areas of the door and the windows = 448 - 35 - 18 = 395 ft²

Number of quarts needed = 395 / 100 = 3.95 quarts = 4 quarts

Cost of 4 quarts = 4 x 3.5 = $14

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449