Question

1. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted 1 point with carpeting that sells for $31.50 per SQUARE YARD. (A square yard is 3 feet by 3 feet, or 9 square feet)... So, this carpet sells for 31.50/9 or $3.50 per square foot. b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimensions of the room in inches on the scale drawing."​

Answer 1

To find the dimensions of the room on the scale drawing, multiply the actual dimensions of the room by the given scale factor of 1/48 inch. The length of the room on the scale drawing is 13/48 inches and the width of the room on the scale drawing is 15/48 inches.

Step-by-step explanation:

To find the dimensions of the room on the scale drawing, we first need to determine the scale factor. In this case, the scale factor is given as 1/4 inch represents 1 foot. Since there are 12 inches in a foot, the scale factor is 1/4 inch * (1 foot / 12 inches) = 1/48. Now, we can multiply the actual dimensions of the room by the scale factor to find the dimensions on the scale drawing.

The length of the room on the scale drawing is 13 feet * (1/48) = 13/48 inches.

The width of the room on the scale drawing is 15 feet * (1/48) = 15/48 inches.

Answer 2

The dimensions of the room in inches on the scale drawing is

`3(1)/(4)` inches by
`3(3)/(4)`inches OR 3.25 inches by 3.75 inches

Step-by-step explanation:

From the question, the dimension of the room is 13feet by 15feet.

Now, if the room is drawn to 1/4 inch represents 1 foot scale, i.e 0.25 inch represents 1 foot, then the dimension of the room in inches on the scale drawing can be determined as follows

Since 1 foot = 0.25 inch

∴ 13 feet on the scale drawing will be 13 × 0.25 = 3.25 or 3 1/4 inches

and 15 feet on the scale drawing will be 15 × 0.25 = 3.75 or 3 3/4 inches

Hence, the dimensions of the room in inches on the scale drawing is

`3(1)/(4)` inches by
`3(3)/(4)`inches OR 3.25 inches by 3.75 inches.