Chris is making a scale drawing of his rectangular room. His room measures 12 feet, 4 inches by 11 feet, 6 inches. He wants his drawing to be one-tenth the size of his room. What are the dimensions of his drawing?
12'4" = 148"
11'6" = 138"
Divide each by 10 and then convert back to mixed fraction.
The dining room is rectangular and measures 17 feet 8 inches by 11 feet 8 inches. Find the area of the dining room floor, rounded up to the next square foot, and the cost of the work.
To find the dimensions of Chris' scale drawing, we first need to determine the scale factor. The scale factor represents the proportional relationship between the actual dimensions of the room and the dimensions of the drawing.
In this case, Chris wants his drawing to be one-tenth the size of his room. This means that the scale factor is 1/10.
To calculate the dimensions of the drawing, we need to multiply each dimension of the room by the scale factor.
First, let's convert the dimensions of the room to a standardized format. Since 1 foot is equal to 12 inches, we can write the dimensions of the room as 12 feet, 4 inches by 11 feet, 6 inches.
Converting the dimensions to inches:
Length of the room = 12 feet * 12 inches/foot + 4 inches = 144 inches + 4 inches = 148 inches
Width of the room = 11 feet * 12 inches/foot + 6 inches = 132 inches + 6 inches = 138 inches
Next, we'll multiply each dimension by the scale factor:
Length of the drawing = Length of the room * Scale factor = 148 inches * 1/10 = 14.8 inches
Width of the drawing = Width of the room * Scale factor = 138 inches * 1/10 = 13.8 inches
Therefore, the dimensions of Chris' scale drawing are 14.8 inches by 13.8 inches.