Question

A scale drawing shows a room to be 3 inches by 4-1/2 inches. carpet, which is $15 per square yard, is to be installed in the room. if the scale is 1 inch to 4 feet, how m4uch would it cost to install the carpet?

Answer 1

To calculate the cost of installing carpet in the room, we first need to find the area of the room. The scale of the drawing is 1 inch to 4 feet, so we can convert the dimensions of the room from inches to feet by multiplying by the scale factor. The cost of installing the carpet can be found by converting the area from square feet to square yards and then multiplying by the cost per square yard.

Step-by-step explanation:

To calculate the cost of installing carpet in the room, we first need to find the area of the room.

The scale of the drawing is 1 inch to 4 feet, so we can convert the dimensions of the room from inches to feet by multiplying by the scale factor: 3 inches * 4 feet/inch = 12 feet and 4.5 inches * 4 feet/inch = 18 feet.

The area of the room is then calculated by multiplying the length and width: 12 feet * 18 feet = 216 square feet.

The cost of installing the carpet can be found by converting the area from square feet to square yards and then multiplying by the cost per square yard: 216 square feet * 1 yard/3 feet * $15/yard = $1080.

Answer 2

The first thing we must do for this case is to look for the real dimensions.
We have then:
(3) * (4) = 12 feet
(4-1 / 2) * (4) = 18 feet
We are now looking for the room area:
(12) * (18) = 216 feet ^ 2
We consider the following conversion:
1 yard = 3 feet
Applying the conversion:
(216) * (1/3) ^ 2 = 24 yd ^ 2
The total cost will then be:
(24) * (15) = 360 $
Answer:
it would cost to install the carpet about:
360 $