# math

You want to produce a scale drawing of your living room, which is 24 ft by 15 ft. If you use a scale of 4 in=6 ft, what will be the dimensions of your scale drawing.

I think the dimensions are 16 ft by 10 ft. Is this right?

1. 👍 0
2. 👎 0
3. 👁 365
1. No. Can you explain what you did to get that?

1. 👍 0
2. 👎 0
2. I tried to make a proportion 4/6=x/24 and that's how I got 16. Then I got another proprtion 4/6=x/15 and I got 10. What did I do wrong?

1. 👍 0
2. 👎 0
3. If you just think about how realistic your answer is, a drawing of those dimensions would be much too difficult to handle. That's a good way to know you've done something wrong.

Start by finding the scale for 1 foot. That should put you in the right direction.

1. 👍 0
2. 👎 0
4. You may have used the scale 4 FEET = 6 feet when you should have done 4 INCHES = 6 feet. That's probably what you did wrong.

1. 👍 0
2. 👎 0
5. Does 1 ft equals 1.5 in?

1. 👍 0
2. 👎 0
6. is the answer 4 ft by 2.5 ft?

1. 👍 0
2. 👎 0
7. To get the conversion factor for every foot, convert feet to inches.

4 in = 6 ft
4 in = 72 in
(divide by 4)
1 in = 18 in

For every 18 inches (1.5 ft), your scale will be only 1 inch. You must have done this backwards.

1. 👍 0
2. 👎 0
8. what do you have to multiply?

1. 👍 0
2. 👎 0
9. You're not actually multiplying. Sorry.

24 ft by 15 ft

Divide each by 1.5 so that it fits our conversion factor (1.5 ft = 1 in).

24/1.5 = 16 inches

Do the same thing with 15.

1. 👍 0
2. 👎 0
10. is the answer 16 in by 10 in?

1. 👍 0
2. 👎 0
11. Yup.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

Brett made a scale drawing of a rectangular room in his house. The actual length of the room is 12 4/5 ft. The scale used to make the drawing was 1/4 in.=1 ft. What is the length, in inches, of the room on the drawing?

2. ### Math

A billboard is 2.5 times as long as it is wide. The area of the actual billboard is 2,250 square feet. A scale drawing is made of the billboard and the area of the scale is 160 square inches. What is the scale used in the scale

3. ### math

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. What expression finds the area of the scale drawing?

4. ### Math

Mariko has an 80 inches = 1 inch scale- drawing of the floor of her house. On the floor plan, the dimension of her rectangular living room are 1 7/8 inches by 2 1/2 inches. What is the area of her real living room in square feet?

1. ### Math

Which scale would produce the largest scale drawing of an object when compared to the actual object? A..1 inch : 5 feet B..1 inch : 30 inches C..1 foot : 12 yards D..1 centimeter : 1 meter

2. ### Math

(05.01)A scale drawing of a living room is shown below: A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 5.5 inches. The scale is 1 to 30. What is the area of the actual

3. ### Algebra

a). The length of the classroom is 30 ft. The length of the room on the scale drawing is 6 in. Is this correct? Explain why or why not. Michael has made a scale drawing of his classroom. The scale for his drawing is 0.5 in. : 3

4. ### Algebra

Suppose you wish to make a scale drawing of your living room, which measures 18 ft by 23 ft. If the shorter side of the drawing is 6 in., how long is the longer side of the scale drawing?

1. ### Math

Sometimes scale drawings are shown on graph paper. Each square on this graph paper is 1/4 inch. Use the scale drawing of the living room to answer each question. There are 1,296 in.2 in one square yard. Use a proportion to find

2. ### Math

A 120-ft long playground is just 15-in on the scale drawing.What is the scale on the scale drawing? How would you solve this question?

3. ### math

the floor plan of a room has a scale of 2.5in . : 35ft. in the drawing the length of the room is 8 in . and the whole width of the room is 6in, what is the perimeter of the actual room ?

4. ### i need your help damon

Jill’s room is 12.5 feet long and 11.5 feet wide. She made a scale drawing of the room with a scale of 0.5 inch = 2 feet. What is the perimeter of Jill’s room in the drawing? A. 12 inches B. 24 inches C. 48 inches D. 96 inches