For Monica’s 14th birthday, she wants to make over her bedroom. The first phase in the bedroom makeover is painting her room. If Monica’s room is 20 ft. long, 15 ft. wide, and 9 ft. high, find the surface area of the room that you are going to paint, including the floor and ceiling
Yes, that's correct. The surface area of the room to be painted, including the floor and ceiling, is 1230 square feet.
To find the surface area of the room that needs to be painted, we need to add up the area of each of the six sides.
Floor area: 20 ft. x 15 ft. = 300 sq. ft.
Ceiling area: 20 ft. x 15 ft. = 300 sq. ft.
Front and back wall area: 2 x 20 ft. x 9 ft. = 360 sq. ft.
Two side wall areas: 2 x 15 ft. x 9 ft. = 270 sq. ft.
Total surface area to be painted: 300 + 300 + 360 + 270 = 1230 sq. ft.
Therefore, Monica needs to paint a surface area of 1230 square feet for her bedroom makeover.
the answer is 1230!
To find the surface area of the room that needs to be painted, we need to calculate the area of all six sides, including the four walls, the floor, and the ceiling.
1. Start with the walls: Since there are four walls, we need to find the total area of these walls. The formula for finding the area of a rectangle is length multiplied by width.
Area of one wall = length * height
Area of four walls = 4 * (length * height)
In this case, the length is 20 ft and the height is 9 ft.
So the area of the four walls = 4 * (20 ft * 9 ft) = 720 ft².
2. Moving on to the floor and the ceiling: The floor and the ceiling are both rectangles, and their areas can be calculated using the formula length * width.
Area of the floor = length * width
Area of the ceiling = length * width
In this case, the length is 20 ft and the width is 15 ft.
So the area of the floor = 20 ft * 15 ft = 300 ft².
And the area of the ceiling = 20 ft * 15 ft = 300 ft².
3. Finally, add up the areas of all the sides to find the total surface area that needs to be painted.
Total surface area = Area of four walls + Area of the floor + Area of the ceiling
Total surface area = 720 ft² + 300 ft² + 300 ft² = 1320 ft².
Therefore, the surface area of Monica's room that needs to be painted, including the floor and ceiling, is 1320 ft².