Ascale drawing of a living room is shown below. the scale is 1 : 40. (rectangle ; one side is 6in. the other is 4in.) show your work to determine the area of the room in square feet.

To find the area of the room in square feet, you would use the scale given of 1 in:40 inches

So, if one side is 6 inches, that would be equal to (6 x 40 inches) 240 inches or 20 feet.

The other side that is 4 inches would be (4 x 40 inches) 160 inches or 13 1/3 foot.

The area would be found by multiplying one side length by the other (13 1/3 feet x 20 feet).

The area is 266 2/3 square feet.

The area of the room in square feet is 266 and 2/3 square feet.

First, we need to multiply both measurements by the scale to get the size of the room.

4 x 40 = 160 in
6 x 40 = 240 in

Now, divide each by 12 to determine the number of feet.

160 / 12 = 13 and 1/3 feet
240 / 12 = 20 feet

Multiplying those two values will give you an area of 266 and 2/3 square feet.